Formal and Informal Decision Making

Formal and Informal Decision Making
Organizations have many task forces, councils, and committees that are designed to contribute to the success of the organization and improve its function. Describe one of these groups, discussing the formal and informal leadership, how decisions are made, and what the role of those that are most influential have on the final product or outcome of the group’s efforts.
Nursing Services Delivery Theory (NSDT)—An Open System
Several systems theories discovered in the literature, including open systems, chaos, and multiple types of adaptive theories, may assist in leading nursing services (Rose, 2013). The open systems approach will be our focus here, as we look at how healthcare organizations meet their needs in various areas. Some of the areas that leaders deal with daily are finance, quality, and regulatory requirements.
Systems can be closed or open. A closed system has inputs and outputs within distinct barriers; most often, these barriers are from the internal organizational environment. The closed system is seen as an entity wherein all the components for functioning are within the system; there are no inputs or outputs from the external environment. Historically, healthcare has been considered a closed system.
An open system is seen as an entity that is interactive with its environment, being sustained by the inputs and outputs of the system. In open systems, there is a hierarchy in which smaller systems interact with each other dynamically to support goals or accomplish tasks (Sullivan, 2011). Some of the smaller units of the healthcare system include highly specialized areas such as the emergency department and the intensive-care unit; the laboratories and central processing; and human resources and financial management. An open organization becomes more complex as more specialized units are developed and function within it. In an open system, all the units are interdependent. Leaders have a broad overview and understanding of the system within which they work as well as a detailed view of the areas within their sphere of influence. The healthcare open system functions to create patient care, diagnosis, and treatment for patients, and provide all the intricacies to support this goal.
Inputs, Throughputs, Outputs, Cycles of Events, and Negative Feedback
In NSDT, there are four main components that nurse leaders must consider in their daily work; these are inputs, throughputs, outputs, cycles of events, and negative feedback. The inputs are the people, materials, resources, and information. The people are all those who are internal and external to the system, including staff and patients. Materials mean those items that are required to complete the organizational goals of care delivery, such as supplies and devices. The resources are related to funding sources such as insurance, government, grants, loans, and donations. Information is vast, ranging from the overall climate of the external environment to the details related to a specific patient (Meyer & O’Brien-Pallas, 2010).
Throughput is what is manipulated and changed to affect us reaching our goal. Throughputs can be as simple as a nursing intervention and other provisions of services (Meyer & O’Brien-Pallas, 2010). Outputs are those things that include any products generated (perhaps through research), materials created (such as a new device or drug), and services provided. One clear service that is provided as an output is the volume of patients that are cared for. One product is the revenue that is generated within the organization.
Systems cycles are those regular and periodic events that ensure best practices, highest quality, and patient safety such as adherence to regulatory demands (Meyer & O’Brien-Pallas, 2010). Other cycles include infection-control data and monitoring, review and updating of policies and procedures, and addressing patient-satisfaction surveys.
Negative feedback has high appreciation from nursing leaders because this is a mark of the degree to which their sphere of influence is meeting organizational expectations (Meyer & O’Brien-Pallas, 2010). Negative feedback occurs through evaluation of performance indicators for the organization and those people and specific units functioning within it.
An example of how the NSDT works within the organization is seen by observing a nursing unit’s activity. The patient arrives for care, leading nursing staff to input the delivery of services to promote the output of improved patient health. Along this path, there may be necessary changes in room assignment or areas of care; these changes would be throughput, and during this change, there may be negative feedback if the patient and family do not appreciate the change.
It is through the use of the NSDT and consideration of healthcare as an open system that leaders gain information and insight into how to respond to daily events that bring barriers and challenges to the organization’s function and meeting the goals for patient-care delivery.
System Unit Interdependence
Leaders must keep the organizational goals firmly in mind as they work within the organization creating changes (throughput) to improve the output. Daily staffing of the organization in which staff assignments are adjusted across units is a keen example of how throughput is used, demonstrating the interdependence of systems units on each other. Consider the oncology unit with the need for two registered nurses due to high patient volume. The goals of the organization must be met, including delivery of high-quality, safe patient care to all patients on the oncology unit. Leaders evaluate staff competencies and change (throughput) the nursing care assignments of two registered nurses from one area to another. If this shortage of nursing personnel becomes an ongoing situation, the organization will adapt by hiring additional registered nurses in a supportive role for the oncology patient population. Leadership will evaluate the department performance, and should the number of patients decrease, the oncology registered-nurse staff would shift to accommodate the needs in another area (throughput). A cycle of events for this particular oncology unit may occur seasonally if there is an influx of population such as in a college town or a city where the weather is pleasant during a harsh winter. Feedback will be obtained from staff and patients and, if negative, additional adjustments will be made by the leadership team. Thus nursing services delivery is a dynamic interplay of inputs, throughputs, outputs, cycles of events, and negative feedback.
Why NSDT Is Important
Although the use of the NSDT seems to organize the work within the environment, there continue to be many variables that impact the ability to ensure consistency in delivery of nursing services. These variables include the patients who are different ages, genders, cultures, degrees of illness, and degrees of needs. Some tools are available to leaders who strive to create the steady state for patients and employees, but often there is more chaos than consistency.
Using the NSDT as a foundational component, leaders can focus on both the global and sub-units of the organizational system. The NSDT allows leaders to measure and evaluate nursing services through observing the actual work completed rather than using data that may not offer both quantitative and qualitative perspectives. Unlike the closed system, open systems described through the use of the NSDT are energetic, innovative, and dynamic in the approach to nursing services. Applying the NSDT with nurse-sensitive indicators supports leaders to lead and manage the process of nursing within the organization (Meyer & O’Brien-Pallas, 2010).
Emotional Intelligence in Leadership
As leaders use the NSDT to gain information and insight within their organizations, it becomes important for these leaders to manage their behaviors and communication in a manner that is appropriate for their roles. In order to ascend to the highest levels of leadership, individuals must be able to view, know, and reflect on their behaviors and communication patterns related to the impact on others. There are five components to emotional intelligence. These are (a) self-awareness, (b) self-regulation, (c) motivation, (d) empathy, and (e) social skills (Taft, 2013).
Self-awareness is the component that identifies the degree to which the leader knows him- or herself. This is the ability to know what you are feeling and how these feelings may translate in facial expression, body language, and verbal communication and how others in the environment will interpret and respond to you. Leaders with high self-awareness demonstrate humility and appreciation. They are keenly aware of their strengths and weaknesses. How can you achieve high self-awareness? Keep a journal of your thoughts and interactions during the day that includes reactions of others to you. Find a method that will allow you to respond rather than react. Some techniques to encourage responding include counting to 10, excusing yourself for a moment, or asking for a meeting or the opportunity to give an answer at a later time.
Self-regulation requires establishment of acceptable response patterns that include (a) careful and measured non-emotional responses (no cynicism or sarcasm); (b) making measured decisions; never rushed or with an emotional response; (c) universal or neutral approach to all people regardless of status, race, gender, etc.; and (d) never compromising personal, organizational, or professional values. How can you achieve high self-regulation? Leaders must draw the line designating where they can and cannot compromise; to do this, leaders must clarify their values and those of their profession. A good way to do this is to ask yourself what your code of ethics is. Knowing where you stand ethically will support ethical and moral decision making. Another way to achieve self-regulation is through self-accountability. Leaders must be accountable for their actions; stop blaming others, the organization, and the situation. Facing errors, challenges, and barriers earns respect and admiration from others. Lastly, practice calmness. Monitor your behavior the next time you feel yourself becoming anxious. How are you acting? Do you get quiet or do you scream? Practice breathing. This may seem silly, but often we do not take full, even breaths in situations that are difficult; breathing helps to keep you calm. To relieve stress, express it in a manner that is acceptable. An acceptable manner is to write down everything that you would like to say, then file it away, never to be read by anyone but you.
Motivation can come from others or can be created within yourself. The best leaders have high standards and clear goals. These people are focused on achievement. How do you get yourself more motivated? To get more motivated, you need to reexamine what you love about your job. If you are struggling with even one thing, begin with something concrete such as “I love that I get paid for the job I do”; “I love that I receive a great insurance plan”; “I love that I earn vacation time”; and so on. If you are a leader, recall the whys that led you to originally apply for the position. The use of the whys is a valuable technique to reevaluate performance. Completing this process helps to find the issues that are creating problems and discover possible solutions.
Take a look at an example below:
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Why am I unhappy?
Because I was reprimanded for missing a deadline.
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Empathy is a critical component in the demonstration of emotional intelligence. Empathy is the quality in which the leader has the ability to see the issue or concern from the other person’s point of view. This component requires leaders to be fair in dealing with all staff, to step up and give positive and negative feedback, and to listen carefully to the concerns of others. Leaders who are empathetic earn respect and gain the loyalty of their staff. How can you learn to be more empathetic? Think of a time when you were in conflict over an issue. Of course, it is easy to justify your point of view, but now reverse the roles (just as you might in a debate class). What are the strengths of the other person’s argument? What makes that argument valid? How might this person’s problem solution effect the needed change? Another strategy to alert the leader to empathy is to attend to the body language of the person that they are engaged with. Is the person crossing his or her arms, indicating that he or she is closed? Is the person failing to make eye contact (remember to consider culture here)? Does the person smile as a negative response is given, indicating incongruence? Lastly, be sure to acknowledge feelings that you observe and hear from others. Some examples include seeing a sad face when you advise a staff member that you will not be able to grant requested vacation time. A leader who sees the sad face should state, “I can see that you are sad that I cannot grant your vacation time.” Allow the person to speak and share his or her feelings.
Social skills are the last of the emotional intelligence components. The best leaders are open to hear the positive and negative and embrace the opportunity to be advised of these types of situations. These leaders are expert managers of change and conflict resolution. Leaders with the best social skills understand that when they are in their organization, or even in the public domain, they are on stage. Everyone looks to the leader to demonstrate appropriate behaviors at all times. The leader sets the tone for all those who are under his or her sphere of influence. For example, if you are the chief nursing officer and you have a bad temper and treat your division directors poorly, then it will be expected that this is appropriate organizational behavior. Thus the division directors will tend to demonstrate bad temper and treat the leaders who report to them poorly, and so on. How can you improve your social skills? Leaders should take advantage of educational experiences that offer interactive opportunities. The topics of these educational experiences should be conflict resolution, communication, and how to give well-deserved praise and rewards to others.
Working toward competency in each of the five areas of emotional intelligence will guide those who wish to be in leadership roles and those who are in leadership roles to perfect their ability to gain respect and loyalty and move staff effortlessly through change (Taft, 2013).
Leader as Change Agent
The majority of a leader’s role is to ensure that staff and patients are satisfied, that quality care is achieved, and that new innovations are adopted that have a positive impact at the unit, the division, and the organization level. The completion of these tasks requires change. The role of the leader is the role of the change agent (Porter-O’Grady & Malloch, 2015).
A leader’s goals should mirror those that have been identified as a standard of excellence, such as the Magnet Recognition program of the American Nurses Credentialing Center (ANCC, 2014), a part of the American Nurses Association. The vision of the Magnet recognition program identifies the delivery of nursing to be based on knowledge and expertise. Magnet recognition is based on core principles and adaptability and aims for continuous innovation and discovery. The model for Magnet recognition consists of five components: (a) transformational leadership practice; (b) organizational empowerment; (c) flawless professional practice; (d) attainment of new knowledge, improvement, and implementation of innovation; and (e) practical outcomes (AACN, 2014). Those attending to the Magnet standard of excellence must also have a broad view that encompasses all organizational levels. In addition to these components, the standard has the overarching expectation that nurses work to the full scope of their practice; have autonomy; are encouraged to make bedside decisions; engage in collaboration related to the work environment; have support for ongoing professional and academic education; and pursue development within their career goals, including leadership and clinical expertise.
Leaders who follow a standard for excellence will be creators of opportunity, use evidence to base all decisions, and have a clear and articulated vision. Leaders will encourage the professionals whom they lead to ask questions and consider taking risks related to interactions with others and proposing alternate care actions. Additionally, these leaders are not found in offices but are among their staff; visible, rounding, communicating, and accessible. Informal leaders can be highly effective in the role of staff champion for these types of changes and support formal leaders to achieve their goals. However, goal achievement related to change requires a carefully guided process to ensure understanding, acceptance, and adoption of the change as a part of new practice and workflow.
Summary
Combining the concept of the NSDT and emotional intelligence within the function of leaders sets the stage for dynamic, professionally satisfying work for staff and leaders and provides patients with motivated expert nurses who are proactively engaged in seeking the best practices that align with the needs and desires of the patient. Leadership is the toughest job that nurses will ever love and the most rewarding to see staff develop, patients flourish, and professionalism become the norm. Becoming the leader who can accomplish these many duties with the consistency that is demanded in the organization takes time and practice. Change is the one constant that is at all organizational levels and offers immediate learning opportunities for staff, potential leaders, and current leaders to gain mastery of this dynamic and important process that is a key to success (Porter-O’Grady & Malloch, 2015).
Reference
Marquis, B. L. & Huston, C. J. (2014). Leadership roles and management functions in nursing: Theory and application. (8th ed.). Philadelphia, PA: Lippincott, Williams & Wilkins.
• Chapter 2: Classical Views of Leadership and Management
• Chapter 3: Twenty-first Century Thinking about Leadership and Management
• Chapter 12: Organizational Structure
Battilana, J. & Gasciaro, T. (2013, Jul-Aug). The network secrets of great change agents. Harvard Business Review. link to article
Jayanthi, A. (2013). Using an input-throughput-output model to minimize cost, increase value. Becker’s Control & Clinical Quality [online]. link to article
Johnson, V., Wessel, T., & Johnson, K. (2013). Building collaboration between CNOs and direct-care nurses. American Nurse Today [online], 8(1). link to article
Krueger, D. L. (2013). Informal leaders and cultural change. American Nurse Today [online], 8(8). link to article
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The Retread Tire Company recaps tires

The Retread Tire Company recaps tires
2.    The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $60,000.The variable cost of recapping a tire is $9.The company charges $25 to recap a tire.
 
a. For an annual volume of 12,000 tires, determine the total cost, total revenue, and profit.
 
b. Determine the annual break-even volume for the Retread Tire Company operation.
 
4.    Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is $25,000, and its variable cost per pound of fertilizer is $0.15. Evergreen sells the fertilizer for $0.40 per pound. Determine the monthly break-even volume for the company.
 

 
12. If Evergreen Fertilizer Company in Problem 4 changes the price of its fertilizer from $0.40 per pound to $0.60 per pound, what effect will the change have on the break-even volume?
 

 
14. If Evergreen Fertilizer Company increases its advertising expenditures by $14,000 per year, what effect will the increase have on the break-even volume computed in Problem 13?
 
Reference Problem 13:  If Evergreen Fertilizer Company changes its production process to add a weed killer to the fertilizer in order to increase sales, the variable cost per pound will increase from $0.15 to $0.22. What effect will this change have on the break-even volume computed in Problem 12?
 
20. Annie McCoy, a student at Tech, plans to open a hot dog stand inside Tech’s football stadium during home games. There are seven home games scheduled for the upcoming season. She must pay the Tech athletic department a vendor’s fee of $3,000 for the season. Her stand and other equipment will cost her $4,500 for the season. She estimates that each hot dog she sells will cost her $0.35. She has talked to friends at other universities who sell hot dogs at games. Based on their information and the athletic department’s forecast that each game will sell out, she anticipates that she will sell approximately 2,000 hot dogs during each game.
 
a. What price should she charge for a hot dog in order to break even?
 
b. What factors might occur during the season that would alter the volume sold and thus the break-even price Annie might charge?
 
22. The College of Business at Tech is planning to begin an online MBA program. The initial start-up cost for computing equipment, facilities, course development, and staff recruitment and development is $350,000.The college plans to charge tuition of $18,000 per student per year. However, the university administration will charge the college $12,000 per student for the first 100 students enrolled each year for administrative costs and its share of the tuition payments.
 
a. How many students does the college need to enroll in the first year to break even?
 
b. If the college can enroll 75 students the first year, how much profit will it make?
 
c. The college believes it can increase tuition to $24,000, but doing so would reduce enrollment to 35.  Should the college consider doing this?
 

 
Chapter 11, Problems 18, 20, 26, 28, 30
 
18.  The following probabilities for grades in management science have been determined based on past records:
 

Grade

Probability

A

0.10

B

0.30

C

0.40

D

0.10

F

0.10

1.00

 
The grades are assigned on a 4.0 scale, where an A is a 4.0, a B a 3.0, and so on. Determine the expected grade and variance for the course.
 
20. An investment firm is considering two alternative investments, A and B, under two possible future sets of economic conditions, good and poor. There is a .60 probability of good economic conditions occurring and a .40 probability of poor economic conditions occurring. The expected gains and losses under each economic type of conditions are shown in the following table:
 

Economic Conditions

Investment

Good

Poor

A

$900,000

-$800,000

B

  120,000

      70,000

 
Using the expected value of each investment alternative, determine which should be selected.
 

 
26. The weight of bags of fertilizer is normally distributed, with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh between 45 and 55 pounds?
 
28. The Polo Development Firm is building a shopping center. It has informed renters that their rental spaces will be ready for occupancy in 19 months.  If the expected time until the shopping center is completed is estimated to be 14 months, with a standard deviation of 4 months, what is the probability that the renters will not be able to occupy in 19 months?
 
30. The manager of the local National Video Store sells videocassette recorders at discount prices. If the store does not have a video recorder in stock when a customer wants to buy one, it will lose the sale because the customer will purchase a recorder from one of the many local competitors. The problem is that the cost of renting warehouse space to keep enough recorders in inventory to meet all demand is excessively high. The manager has determined that if 90% of customer demand for recorders can be met, then the combined cost of lost sales and inventory will be minimized. The manager has estimated that monthly demand for recorders is normally distributed, with a mean of 180 recorders and a standard deviation of 60. Determine the number of recorders the manager should order each month to meet 90% of customer demand.

 
12. If Evergreen Fertilizer Company in Problem 4 changes the price of its fertilizer from $0.40 per pound to $0.60 per pound, what effect will the change have on the break-even volume?
 

 
14. If Evergreen Fertilizer Company increases its advertising expenditures by $14,000 per year, what effect will the increase have on the break-even volume computed in Problem 13?
 
Reference Problem 13:  If Evergreen Fertilizer Company changes its production process to add a weed killer to the fertilizer in order to increase sales, the variable cost per pound will increase from $0.15 to $0.22. What effect will this change have on the break-even volume computed in Problem 12?
 
20. Annie McCoy, a student at Tech, plans to open a hot dog stand inside Tech’s football stadium during home games. There are seven home games scheduled for the upcoming season. She must pay the Tech athletic department a vendor’s fee of $3,000 for the season. Her stand and other equipment will cost her $4,500 for the season. She estimates that each hot dog she sells will cost her $0.35. She has talked to friends at other universities who sell hot dogs at games. Based on their information and the athletic department’s forecast that each game will sell out, she anticipates that she will sell approximately 2,000 hot dogs during each game.
 
a. What price should she charge for a hot dog in order to break even?
 
b. What factors might occur during the season that would alter the volume sold and thus the break-even price Annie might charge?
 
22. The College of Business at Tech is planning to begin an online MBA program. The initial start-up cost for computing equipment, facilities, course development, and staff recruitment and development is $350,000.The college plans to charge tuition of $18,000 per student per year. However, the university administration will charge the college $12,000 per student for the first 100 students enrolled each year for administrative costs and its share of the tuition payments.
 
a. How many students does the college need to enroll in the first year to break even?
 
b. If the college can enroll 75 students the first year, how much profit will it make?
 
c. The college believes it can increase tuition to $24,000, but doing so would reduce enrollment to 35.  Should the college consider doing this?
 

 
Chapter 11, Problems 18, 20, 26, 28, 30
 
18.  The following probabilities for grades in management science have been determined based on past records:
 

Grade

Probability

A

0.10

B

0.30

C

0.40

D

0.10

F

0.10

1.00

 
The grades are assigned on a 4.0 scale, where an A is a 4.0, a B a 3.0, and so on. Determine the expected grade and variance for the course.
 
20. An investment firm is considering two alternative investments, A and B, under two possible future sets of economic conditions, good and poor. There is a .60 probability of good economic conditions occurring and a .40 probability of poor economic conditions occurring. The expected gains and losses under each economic type of conditions are shown in the following table:
 

Economic Conditions

Investment

Good

Poor

A

$900,000

-$800,000

B

  120,000

      70,000

 
Using the expected value of each investment alternative, determine which should be selected.
 

 
26. The weight of bags of fertilizer is normally distributed, with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh between 45 and 55 pounds?
 
28. The Polo Development Firm is building a shopping center. It has informed renters that their rental spaces will be ready for occupancy in 19 months.  If the expected time until the shopping center is completed is estimated to be 14 months, with a standard deviation of 4 months, what is the probability that the renters will not be able to occupy in 19 months?
 
30. The manager of the local National Video Store sells videocassette recorders at discount prices. If the store does not have a video recorder in stock when a customer wants to buy one, it will lose the sale because the customer will purchase a recorder from one of the many local competitors. The problem is that the cost of renting warehouse space to keep enough recorders in inventory to meet all demand is excessively high. The manager has determined that if 90% of customer demand for recorders can be met, then the combined cost of lost sales and inventory will be minimized. The manager has estimated that monthly demand for recorders is normally distributed, with a mean of 180 recorders and a standard deviation of 60. Determine the number of recorders the manager should order each month to meet 90% of customer demand.

 
14. If Evergreen Fertilizer Company increases its advertising expenditures by $14,000 per year, what effect will the increase have on the break-even volume computed in Problem 13?
 
Reference Problem 13:  If Evergreen Fertilizer Company changes its production process to add a weed killer to the fertilizer in order to increase sales, the variable cost per pound will increase from $0.15 to $0.22. What effect will this change have on the break-even volume computed in Problem 12?
 
20. Annie McCoy, a student at Tech, plans to open a hot dog stand inside Tech’s football stadium during home games. There are seven home games scheduled for the upcoming season. She must pay the Tech athletic department a vendor’s fee of $3,000 for the season. Her stand and other equipment will cost her $4,500 for the season. She estimates that each hot dog she sells will cost her $0.35. She has talked to friends at other universities who sell hot dogs at games. Based on their information and the athletic department’s forecast that each game will sell out, she anticipates that she will sell approximately 2,000 hot dogs during each game.
 
a. What price should she charge for a hot dog in order to break even?
 
b. What factors might occur during the season that would alter the volume sold and thus the break-even price Annie might charge?
 
22. The College of Business at Tech is planning to begin an online MBA program. The initial start-up cost for computing equipment, facilities, course development, and staff recruitment and development is $350,000.The college plans to charge tuition of $18,000 per student per year. However, the university administration will charge the college $12,000 per student for the first 100 students enrolled each year for administrative costs and its share of the tuition payments.
 
a. How many students does the college need to enroll in the first year to break even?
 
b. If the college can enroll 75 students the first year, how much profit will it make?
 
c. The college believes it can increase tuition to $24,000, but doing so would reduce enrollment to 35.  Should the college consider doing this?
 

 
Chapter 11, Problems 18, 20, 26, 28, 30
 
18.  The following probabilities for grades in management science have been determined based on past records:
 

Grade

Probability

A

0.10

B

0.30

C

0.40

D

0.10

F

0.10

1.00

 
The grades are assigned on a 4.0 scale, where an A is a 4.0, a B a 3.0, and so on. Determine the expected grade and variance for the course.
 
20. An investment firm is considering two alternative investments, A and B, under two possible future sets of economic conditions, good and poor. There is a .60 probability of good economic conditions occurring and a .40 probability of poor economic conditions occurring. The expected gains and losses under each economic type of conditions are shown in the following table:
 

Economic Conditions

Investment

Good

Poor

A

$900,000

-$800,000

B

  120,000

      70,000

 
Using the expected value of each investment alternative, determine which should be selected.
 

 
26. The weight of bags of fertilizer is normally distributed, with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh between 45 and 55 pounds?
 
28. The Polo Development Firm is building a shopping center. It has informed renters that their rental spaces will be ready for occupancy in 19 months.  If the expected time until the shopping center is completed is estimated to be 14 months, with a standard deviation of 4 months, what is the probability that the renters will not be able to occupy in 19 months?
 
30. The manager of the local National Video Store sells videocassette recorders at discount prices. If the store does not have a video recorder in stock when a customer wants to buy one, it will lose the sale because the customer will purchase a recorder from one of the many local competitors. The problem is that the cost of renting warehouse space to keep enough recorders in inventory to meet all demand is excessively high. The manager has determined that if 90% of customer demand for recorders can be met, then the combined cost of lost sales and inventory will be minimized. The manager has estimated that monthly demand for recorders is normally distributed, with a mean of 180 recorders and a standard deviation of 60. Determine the number of recorders the manager should order each month to meet 90% of customer demand.

 
Chapter 11, Problems 18, 20, 26, 28, 30
 
18.  The following probabilities for grades in management science have been determined based on past records:
 
Grade
Probability
A
0.10
B
0.30
C
0.40
D
0.10
F
0.10
1.00
 
The grades are assigned on a 4.0 scale, where an A is a 4.0, a B a 3.0, and so on. Determine the expected grade and variance for the course.
 
20. An investment firm is considering two alternative investments, A and B, under two possible future sets of economic conditions, good and poor. There is a .60 probability of good economic conditions occurring and a .40 probability of poor economic conditions occurring. The expected gains and losses under each economic type of conditions are shown in the following table:
 
Economic Conditions
Investment
Good
Poor
A
$900,000
-$800,000
B
  120,000
      70,000
 
Using the expected value of each investment alternative, determine which should be selected.
 

 
26. The weight of bags of fertilizer is normally distributed, with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh between 45 and 55 pounds?
 
28. The Polo Development Firm is building a shopping center. It has informed renters that their rental spaces will be ready for occupancy in 19 months.  If the expected time until the shopping center is completed is estimated to be 14 months, with a standard deviation of 4 months, what is the probability that the renters will not be able to occupy in 19 months?
 
30. The manager of the local National Video Store sells videocassette recorders at discount prices. If the store does not have a video recorder in stock when a customer wants to buy one, it will lose the sale because the customer will purchase a recorder from one of the many local competitors. The problem is that the cost of renting warehouse space to keep enough recorders in inventory to meet all demand is excessively high. The manager has determined that if 90% of customer demand for recorders can be met, then the combined cost of lost sales and inventory will be minimized. The manager has estimated that monthly demand for recorders is normally distributed, with a mean of 180 recorders and a standard deviation of 60. Determine the number of recorders the manager should order each month to meet 90% of customer demand.

 
26. The weight of bags of fertilizer is normally distributed, with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh between 45 and 55 pounds?
 
28. The Polo Development Firm is building a shopping center. It has informed renters that their rental spaces will be ready for occupancy in 19 months.  If the expected time until the shopping center is completed is estimated to be 14 months, with a standard deviation of 4 months, what is the probability that the renters will not be able to occupy in 19 months?
 
30. The manager of the local National Video Store sells videocassette recorders at discount prices. If the store does not have a video recorder in stock when a customer wants to buy one, it will lose the sale because the customer will purchase a recorder from one of the many local competitors. The problem is that the cost of renting warehouse space to keep enough recorders in inventory to meet all demand is excessively high. The manager has determined that if 90% of customer demand for recorders can be met, then the combined cost of lost sales and inventory will be minimized. The manager has estimated that monthly demand for recorders is normally distributed, with a mean of 180 recorders and a standard deviation of 60. Determine the number of recorders the manager should order each month to meet 90% of customer demand.
 
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Community assessment case study

Community assessment case study
Community Assessment Applied
The Community
PHASE ONE: DEFINING THE COMMUNITY
You are employed as a public health nurse by the Midway Health Department. One of your duties is to perform a community assessment. The health department annually identifies a health concern that it would like to address through a community assessment. This year, it has chosen the increasing incidence of obesity as the health concern to be investigated. Your task is to complete a community assessment of Midway by looking for indicators that influence the incidence of obesity within the community.
PHASE TWO: ASSESSMENT
A. Data Gathering
First, you conduct an Internet search to find information about your community. Through your Internet search, you gather the following information:
Population of Midway
• Total population: 10,000
• Ethnic composition:
• White—8000
• African American—1500
• Hispanic—500
• Median age: 37 years
• Population groups:
• Under 15 years—20%
• 15-24 years—17%
• 25-44 years—28%
• 45-64 years—21%
• Over 65 years—14%
• Income:
• Median household—$31,550
• % community below poverty level—10%
• 2000 children attend school (K-12)
• Attendance rates:
• National—79%
• State—85%
• Local—93%
• Free and reduced-price lunch eligibility
• 35% of students are eligible
• Involvement in extracurricular activities
• 80% at middle school level
• 75% at senior high school level
Prevalence of Overweight Children
• National—20%
• State—22%
• Local—25%
Adult Obesity Prevalence (BMI greater than 30)
• National—32%
• State—35%
• Local—34%
Causes of Death Related to Chronic Disease
• Heart disease:
• National—29%
• State—31%
• Cardiovascular accident (CVA)
• National—10%
• State—11%
• Diabetes
• National—2%
• State—2%
B. Data Generation
After the previous information has been collected, you begin to generate your own data about the community. You choose to complete a windshield survey and to interview key informants to generate additional information.
Windshield Survey
You choose to complete your windshield survey at 1:00 p.m. on a warm and sunny Sunday afternoon. You hope that by performing your assessment at this time, if weather conditions are favorable, you will be able to see people out in the community.
• Many families are out in the community together. Some are playing outdoors in backyards, some are going for walks or bike rides on the bike trail, and others are doing yard work.
• Sidewalks are located along major streets in the community (well maintained).
• There is at least one vehicle in most driveways.
• The condition of the residences and businesses appears to depend on where you are in the community. Those that are near the trailer homes appear to have more litter surrounding them and are not as well kept as those that are located in the newer section of the community.
• Two distinct areas of the community:
• Ranch-style homes built after 1950
• Congregate area of trailer homes in poor repair
• Three convenience stores
• Six fast food restaurants
• Two family-style restaurants
• One grocery store
• One video rental store
• Elementary, middle, and high schools
• One health clinic (one physician and one nurse practitioner practice)
• Eight churches
• Two golf courses (one public and one private)
• Scenic bike trail (in good repair)
• Indoor public swimming pool (accessible to public year round)
• Two city parks (appear to be well maintained)
• One has a baseball diamond
• One has a soccer field
Informant Interviews
You select four key informants (elementary school physical education teacher, park and recreation director, restaurant owner, and church minister) to interview about their perspectives regarding obesity in Midway. Before meeting with the informants, you prepare a list of questions.
1. Are you aware of the increasing prevalence of obesity in the nation?
a. If informant answer is no, provide information about this problem, and educate the informant about its rate of increase over the past 30 years.
2. Do you think obesity is a problem in this community? Why or why not?
3. Given that several studies have determined that overweight children have a high tendency to become obese adults, do you think this community is doing enough to prevent obesity in children? Why or why not?
4. What resources are available in the community to promote healthy lifestyles?
5. What barriers in the community hinder the individual who wishes to maintain a healthy lifestyle?
6. Tell me what you know about the lifestyles of the residents of Midway, based on interactions that you have with them.
Interview With Elementary School PE Teacher—35-Year-Old White Female
1. Are you aware of the increasing prevalence of obesity in the nation? Yes
2. Do you think obesity is a problem in this community? Why or why not? Yes, I have seen a change in the population that attends the elementary school over the past decade. I have been teaching PE at this school for the past 10 years; I would have to say that children are considerably less active now than they were 10 years ago. This lack of activity has caused young children to have considerable problems controlling their weight.
3. Given that several studies have determined that overweight children have a high tendency to become obese adults, do you think this community is doing enough to prevent obesity in children? Why or why not? The community has not really been doing much to prevent children from becoming obese. Currently, PE is offered to the elementary school children two or three times per week for 30 minutes each time. This seems to be barely enough time to get children organized in an activity and definitely does not provide them with adequate cardiovascular exercise. Some of the children complain about doing activities in PE that make them sweat, and they say they would rather be at home playing video games.
The frequency of opportunity and the duration of time that students engage in PE should be increased to help deal with this problem. The community in general seems to be ignoring this problem. You may hear parents say things about overweight kids, but no one is really addressing the issue.
4. What resources are available in the community to promote healthy lifestyles? The fact that the city swimming pool is open year round is an asset to the community. Regular swimming and water aerobics classes are available there for all community members. Also, two city parks in town are in good condition. A variety of play equipment is available in these parks for children to use. One park has a soccer field and the other has a baseball diamond. These are used by children on a regular basis when weather conditions are favorable. Also, the recent addition of a bike trail in the community has proved helpful in promoting physical activity.
5. What barriers in the community hinder the individual who wishes to lead a healthy lifestyle? One barrier is the a la carte lunch program that is provided for school-aged children. If children don’t like what is being served for lunch, they can choose to buy pizza, chips, candy, etc., for lunch; this does not promote healthy eating. I don’t believe that children are responsible enough to make their own choices about what they should eat on a daily basis.
Another barrier is that the community does not have a recreation center. There is no central location in the community for promoting wellness and providing opportunities for physical activity. Also, many children come from homes where both parents work. Parents may not have time to participate in physical activity with their children outside of school; this limits children’s opportunities to engage in healthy lifestyle patterns.
6. Tell me what you know about the lifestyles of the residents of Midway, based on interactions that you have with them. As I mentioned before, in many of the families in this community, both parents are employed either full time or part time. This limits the amount of time that is available for recreation. When I talk to students, I get the sense that they are not learning that exercise is an important lifelong habit. I am guessing that many of their parents do not exercise on a regular basis. When the weather is nice, I see a lot of families out together using the bike trail. Knowing many people in this community and their busy schedules, I would guess that families in this community eat fast food at least one time per week, if not more often.
Interview With Park and Recreation Director—50-Year-Old White Woman
1. Are you aware of the increasing prevalence of obesity in the nation? Yes
2. Do you think obesity is a problem in this community? Why or why not? Yes, the children and families that I serve in the community appear to be more overweight than they were several years ago. Also, interest from the community in the programs that I organize seems to have decreased over the past several years. The number of youth in the community who sign up to participate in the outdoor soccer and baseball/softball leagues is declining.
3. Given that several studies have determined that overweight children have a high tendency to become obese adults, do you think this community is doing enough to prevent obesity in children? Why or why not? Yes, this community has several resources in place for children in this community. However, not many children choose to use these resources. We have given children every possible opportunity to be active. I coordinate activities for children and families throughout the entire calendar year. I believe that ample opportunity exists for all children to participate and be active.
4. What resources are available in the community to promote healthy lifestyles? Resources available in the community include programs from the Park and Recreation Department, swimming pool, parks, and the bike trail. The community is safe; there is very little crime here. Children should be able to be outside and exercise on a regular basis. If parents don’t have money to send their children to the programs that are offered, several organizations offer scholarships for children so they can attend.
5. What barriers in the community hinder the individual who wishes to lead a healthy lifestyle? Adults are probably faced with some barriers. There is no exercise facility in the community that is accessible to the public. Adults must engage in exercise in their homes or outdoors. I think the school gyms could be used for organized exercise programs, but as far as I know, that is not happening right now.
People in this community are hard workers. In many families, both parents work; their busy lives create barriers to staying physically active and promoting physical activity for themselves and their children.
6. Tell me what you know about the lifestyles of the residents of Midway, based on interactions that you have with them. The population I serve appears to be mainly the white community. I am not sure why the minority groups choose not to participate. As I mentioned before, it appears that the families are hard working, but because of this, they may feel that they are too busy to have an active/healthy lifestyle.
Interview With Restaurant Owner—60-Year-Old White Man
1. Are you aware of the increasing prevalence of obesity in the nation? Yes
2. Do you think obesity is a problem in this community? Why or why not? Obesity is definitely a problem in this community. I see it on a daily basis when customers come into the family diner that I own. I have noticed a difference in the past decade; there are definitely more overweight people in our community today.
3. Given that several studies have determined that overweight children have a high tendency to become obese adults, do you think this community is doing enough to prevent obesity in children? Why or why not? No, this community should be doing much more to prevent obesity in children. Look at the billboards and the advertisements that children see every day. Everywhere they look, another ad is telling them that they should eat their food, play their video games, or watch their television shows.
All of the fast food restaurants offer high-fat foods geared for kids. Who wouldn’t want to go out to eat and get a toy with their meal? It is my experience that children do not like to come to my family diner for a meal because it is too boring, and there isn’t enough entertainment involved in the experience.
4. What resources are available in the community to promote healthy lifestyles? I’m not sure if there are many resources available in the community to promote healthy lifestyles. There are several fast food restaurants in town, as well as a couple of family-style restaurants. Convenience stores and pizza places are other places where community members stop to get food. I’m not sure that the food industry does a good job of promoting healthy lifestyles. It seems that everything is about things being quick and convenient. Sometimes, being healthy is not a quick and convenient thing to achieve.
5. What barriers in the community hinder the individual who wishes to lead a healthy lifestyle? I mentioned quite a few barriers earlier. One major barrier is the amount of time that people have in a day. I have noticed a decline in the number of people who come into my restaurant during the past decade. I suspect they are choosing fast food over my restaurant because it is quicker.
6. Tell me what you know about the lifestyles of the residents of Midway, based on interactions that you have with them. I think convenience is a major factor in all choices that residents in the community make. If it can’t be done quickly, I think many of them think that then they just won’t do it. Another thing I have noticed is the demands of the consumer in my restaurant. It is important that portion sizes for the meals are big. Customers are disappointed if the meal isn’t “big enough” for them. They don’t want to leave hungry. They are paying me to deliver a service to them, and if I want to stay in business, I need to meet their demands.
Interview With Church Minister—40-Year-Old African American Man
1. Are you aware of the increasing prevalence of obesity in the nation? Yes.
2. Do you think obesity is a problem in this community? Why or why not? I don’t think I have noticed a change in the congregation that I serve. However, there is a large amount of media attention being given to this issue, so I would have to guess that it is probably a problem in our community as well.
3. Given that several studies have determined that overweight children have a high tendency to become obese adults, do you think this community is doing enough to prevent obesity in children? Why or why not? I am not aware of any specific programs out there to keep children active because I do not have any children living at home. I would hope that children are receiving the necessary physical activity that they need both during and after school. Children who attend my congregation love to run and play, but I am not sure whether they have the opportunity to engage in organized activities in the community.
4. What resources are available in the community to promote healthy lifestyles? I know the swimming pool is open year round; that is a benefit to the community. There is programming for adults like water aerobics that happens there on a regular basis.
The retired persons in my congregation have started a walking program, and they walk on the bike trail several times each week. I think this is a great resource for them to have. However, I don’t know how many people outside of our congregation know about this.
We have several restaurants in the community. Community members can go to these restaurants and make healthy food choices if they are unable to prepare a meal for themselves at home.
5. What barriers in the community hinder the individual who wishes to lead a healthy lifestyle? I think a major barrier is the lack of communication within the community. I think there may be several resources out there, but the community has not done a good job of letting the entire community know what is going on. Also, I think everyone is too busy. No one wants to take the time to do things that might be a healthier option for them.
6. Tell me what you know about the lifestyles of the residents of Midway, based on interactions that you have with them. My interactions with residents in the community occur mainly at the church; these interactions happen several times each week. The congregation that I serve is primarily an African American, working class population. Family is very important to the members of my church. Families do many things together within the community.
C. Data Interpretation
After you have collected the data, you analyze the findings. You look through the data to find out whether you have collected adequate information to obtain a complete picture of the community. You review the data you have collected to identify recurrent themes. You identify the strengths and weaknesses of the community, so that you can draw some conclusions.?
Prevalence of Overweight Children
• National
• State
• Local
Topic Area: Physical Activity for Children
Data Gathered
Data Generated
Interpretation:
Conclusion:
Topic Area: Nutritional Patterns for Children
Data Gathered
Data Generated
Interpretation:
Conclusion:
Adult Obesity Prevalence (BMI greater than 30)
• National
• State
• Local
Causes of Death Related to Chronic Disease
• Heart disease
• National
• State
• Cardiovascular accident (CVA)
• National
• State
• Diabetes
• National
• State
Topic Area: Physical Activity for Adults
Data Gathered
Data Generated
Interpretation:
Conclusion:
Topic Area: Nutritional Patterns for Adults
Data Gathered
Data Generated
Interpretation:
Conclusion:
Other Significant Data
On the basis of the community assessment, you are able to draw the following conclusions:
Strengths of the Community
Areas for Improvement in the Community
Recommendations?
 
 
 
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SIGNATURE ASSIGNMENT INSTRUCTIONS

SIGNATURE ASSIGNMENT INSTRUCTIONS
Parts 1 and 2 Due: Sunday in Week 4
Entire Paper, Parts 1 – 4 Due: Saturday 11:59pm in Week 8
Mathematical ideas area all around us, but few of us dig deep enough into them to fully understand how they apply. Beyond counting, collecting data, using logical reasoning, crunching numbers, or using software programs, there is a layer of mathematics just below the surface. You will choose one of the five given topics to explore mathematics more deeply.
This Signature Assignment, due as separate research papers in Weeks 4 and 8, synthesizes the knowledge you obtained throughout the class. You will submit a final paper in Week 8 that pulls together the mathematics you have learned.
PROJECT:
Upon successful completion of this course, you decide to analyze one of five topics as a consultant. You are told that the project will give you full credit and a promotion if you have a thorough analysis. You must use any information or names provided.
Your objective is to provide a written report that explains the context of the case, an analysis of the problem, graphs that represent the information provided, an explanation of the calculations used, and a presentation of your results. As the consultant, you will provide a cover page, report, conclusion, recommendations, references, and an appendix with data or supporting information.
Your goal, and the purpose of this assignment, is to compile all pertinent information into one report. We will use George Polya’s Four-Step Method for Problem Solving (Chapter 1):
1. Understand the Problem
2. Devise a Plan
3. Carry Out the Plan
4. Look Back and Check
In order to organize this, an outline is provided. The assignment is broken down into four parts: Situation Analysis, Compilation of Research, Data, or Other Pertinent Information, Problem Solving Related to this Situation, and Conclusion/Recommendations.
While, in actuality, this may be a final project for this class, these projects can pay thousands and even hundreds of thousands of dollars in an actual work situation. Why? We present analyses order to improve businesses, medicine, business, crime rates, or society. You will explain your calculations and symbolic operations in order to interpret social and economic trends for this project.
Parts 1 and 2 are due one Sunday at 11:59pm of Week 4.
A cover page, reference page, and appendix are required. The appendix comes at the end of the paper and should include, at a minimum, data from a newspaper/journal article, research study, university/corporate report, or national data set. Put this in Appendix 1. Your cover page must have your name, title of the paper, type of assignment project, course name/number, university name, term of enrollment, and optional picture that represents the study you are conducting. You will put the graphs you create in Part 2 and Part 3, although outside graphs and charts will go in the body of the paper too. Label all graphs and charts Figure 1, Figure 2 or Table 1, Table 2 or Chart 1, Chart 2 or Graph 1, Graph 2. For example, Figure 1: Growth of Pea Plants with Varying Amounts of Fertilizer.Your reference page must have a minimum of two references outside of the textbook or materials in this class. You must have three in text citations within your paper. Other appendices might include graphs or charts from outside sources, although some of these should be in the body of the paper in order to present your findings so that the reader can see what you are conveying.
Part 1: Primary Situation Analysis (3 – 4 paragraphs):
1. Before you can examine the data, you must understand the problem. Your first two paragraphs should discuss the importance of this issue or situation. You need a minimum of two references (minimum of 3 in text citations) that present the history, background, or underlying ideas in order to frame the discussion. You must cite your sources and put a minimum of two references in the reference page outside of the textbook.
Your next two paragraphs should introduce the company/organization and why it is important to them. Please include:
a. The basic question you, as the researcher, want to address.
b. A description of the historical and practical context, variables, units, and example/application to the real world.
c. The problems you might encounter with missing variables or information.
d. A minimum of two references to outside sources such as data from a newspaper/journal article, research study, university/corporate report, or national data set.
e. One or more graphs, charts, images to give the reader a visual understanding of the background of the topic.
f. The issue’s importance to the readers
g. A description of the information you must collect and how it relates to the big picture of social and economic trends.
Part 2: Compilation of Research, Data, or Other Pertinent Information (3 – 4 paragraphs)
Your next step is to collect and organize information. The research you collect will be included in part 2. Since each study is different, you will compile whatever you need to analyze your situation. You will describe and accurately compute symbolic operations. This part of the study will include:
a. Data, calculations, and other quantitative and qualitative information.
b. Graphs and charts should be presented to explain your specific research or company situation.
c. Additional elements of the actual data that supports your research or company situation
d. An explanation about how the data/information you collected fits into the big picture, like social and economic factors.
Part 3: Problem Solving Related to this Situation (2 – 4 paragraphs)
3. Assuming that all assumptions have been met, it is now time for you to conduct some analysis. You might want to add some statistical data like measures of the center, distribution, skewness, correlation, probability, or hypotheses.
a. Describe the assumptions you made.
b. Analyze the information you collected and determine if your data supports the research you have done.
c. Connect your research findings to the research you collected in Part 1 and to the real world setting you presented in Part 2.
d. Going back to the problem, what did you determine is best for your company, organization, or issue?
Part 4: Conclusion and Recommendations (2 – 4 paragraphs)
4. Use your research to interpret and explain the information you collected. Consider your project in terms of social and economic factors.
a. What can you infer?
b. What information might lead you to a different conclusion?
c. What variables are missing?
d. What additional information would be valuable to help draw a more certain conclusion?
e. What are your recommendations?
f. What follow up study might be helpful?
Hint: This is your conclusion, but it is also a window to further research and analysis.
Final Comments Before you Begin
Computers and calculators are good at yielding results, but such results typically require the careful interpretation that breathes life into an otherwise meaningless set of information and outcomes. We should recognize that a result is not automatically valid simply because it was computer-generated. Computers do not think, even though they crunch out results.
The key in this study is to have this research project make sense in the context of the real world. So be sure to criticize, analyze, and connect the information to the question to be answered in a clear way.
Plagiarism Note:
Your paper will be submitted through Turnitin.com. You will get a percent that represents the amount your paper is similar to or copied from another source.
(1) You may not copy your paper or use a reference without quotes or giving credit to the original author.
(2) You may not use a paper you wrote from a prior course, even if it is the same class you are taking now.
(3) If your percent is on or below 30%, you are fine. If your Turnitin similarity percent is 30 – 60%, a warning may be sent either to your advisor or to a school administrator and you will have to resubmit a new version with a late penalty determined by your instructor. If your percent is over 60%, you will receive an F on the paper.
FORMAT: Word document, with embedded Excel charts, graphs, figures, and tables.
Final Paper Length (note: the draft, due in Week 4, will be shorter because it only includes half of the material):
Title page: You should have a cover page. The cover page should have the specific title of your study (MATU 103 Paper does not clearly define the topic you are presenting), your name, Brandman University, MATU 103, term, and year. You might find it helpful to include an image of something representative of the study. This is not necessary, but may provide a visual context for your report.
APA or MLA Format with name and page number on each page
Write Up/Body: The body should be 5 – 8 pages with graphs, images, screen shots of data output, and text included. The reference page is separate as is the appendices. Please use a “page break” to separate the cover from the body and the references from the body and the appendices from the reference page.
APA or MLA Format with name and page number on each page
References: Please include all articles, books, websites, publications, or other information that helped you reach your conclusion. The references come before the appendix. At least two references are required not including the textbook.
Appendices: You must have an appendix; this part, at the end of your paper, might be an additional 1-2 pages. In the appendix, include your given data as well as supplemental charts and graphs outside of the ones included in your paper. You may also want to include computations, but this is not necessary. It may be helpful to you when you refer to this later or if the reader of the report wanted to review your computations. Label the appendices, Appendix 1, Appendix 2, etc.
Note: The draft with Part 1 of this assignment is due on Sunday night at 11:59pm of Week 4. The final paper with Parts 1-4 is due on Saturday night at 11:59pm of Week 8.
You must choose from one of these five topics:
1. Computers
There is practically no where you can turn where there is not a computer, tablet, phone, or other digital device. Additionally, with artificial intelligence, these machines are building the capacity to anticipate what you want and answer just about any question. We talk about Big Data, which is the idea that large data sets are being collected and churned through computers from the thousands of digital actions and recorded interactions we take each day. What is Big Data and give examples of how it is applied? In your consultant role, you will prepare a document that explains to the company leaders the concepts and mathematics behind computer decision making (including binary code, artificial intelligence, and Big Data). How do computers make decisions? What is quantum computation and how is it applied? Where are we headed technologically? Also, present some other advances in technology. Address the community issue of privacy in the digital age as well. Use this 2013 Corning glass company video for some inspiration – https://www.youtube.com/watch?v=jzLYh3j6xn8
2. Home Buying Decisions
Peter wants to buy a house. Ads say that he can get a subprime rate, ARM, extended loan, and other buying options. You are asked to come in and analyze this for Peter, but you need to get your arms around this situation. Before you start your study, you decide to research what happened in the housing market in 2008. Why did it happen? What were the community issues surrounding this economic decline? Briefly explain the social and economic trends in home buying along with graphs that show home purchases over the past decade. What is projected for the future? Peter has $100,000 to put down on the home. He earns $80,000 per year. You are to provide a quantitative analysis of purchasing, interest rates, and the growth potential of the home. What locations are good? What is a good investment? Although his job is in Irvine, California and he would like to reside in Orange County, he does not think that is possible. Give Peter four specific housing options from your research on homes in Orange County with the financial breakdown for his buying decision making. Where he can live? What should he do? Why?
3. Fractals
Fractals were developed by Benoit Mandelbrot and are used in dozens of fields. If you go to Epcot Center in Disney World you will see in the Imagination Center’s fractals and fractal creation zone. The use of fractals has exploded. Geographers, cartographers, filmmakers, and biologists began to see how they could use fractals. In this consulting assignment, you work for a production company, Steelberg Films. The head of Steelberg films, Mike Steelberg, has approached you about using fractals in his filmmaking to render fractal-designed realistic landscapes and ocean formations. He wants you to create a presentation on fractals, including the history, geometry, and applications in film and media. He wants to know what other films have used fractals, the basics of how to create them, some examples, and what you recommend for the spaceship scenes he wants to make for his new movie, Mars Landing. Briefly explain the social and economic opportunities of fractal geometry in society. Also present the challenges and opportunities of the use of drones used in filmmaking.
4. Cryptanalysis/Code Breaking
Although cryptanalysis and code making/breaking sounds like the undercover work of spies, it is part of your everyday life whether you know it or not. Your personal information is out there in digital form. Most of this is encrypted, but some is vulnerable to attack and people’s identity (social security numbers, names, images, etc.) are taken each year. Your company, Music and Film Innovators (MFI), has discovered that some of the music and music videos it creates have been stolen and used by other music/film creators. You have been asked to write up a report on the mathematics of cryptanalysis, calculations/data collection in cybersecurity, and prevalence of intellectual property/identity/copyright theft, and ways to protect your company’s creations and personnel data so that hackers cannot attack you. Present the various ways cybercriminals can attack MFI, statistical data that shows what, how, and who is doing this, graphs that outline your case, and ways MFI can protect itself. Add a couple of paragraphs on the three main credit reporting agencies Equifax, Experian, Trans Union and how they use cryptanalysis information to secure MFI’s data and that of their employees. What are your recommendations? Briefly explain the social and economic trends of encryption and decryption systems.
5. Retail Sales
When we enter a supermarket, department store, or shopping mall, we do not think about mathematics of retail sales, but it is everywhere. Businesses survive because they analyze customer purchasing and consumer choices. They also design stores so that they can maximize sales. Volume shopping is the key to increasing sales. In the wake of the financial crisis of 2008, present numerical and graphical data on consumer purchases. What retail stores, products, and areas have done better over the past decade? What products are leaving the marketplace? What retail stores have hired more people? Why? Present numerical and graphical data on marketplace trends. How have stores been redesigned to capture the interest of consumers? Give quantitative and qualitative data that supports these store and mall redesigns. What issues should the community be aware of regarding the changing trends in retail sales? What is happening now with the closing of many mall stores in favor or online stores? Where does Amazon fit into the big picture of sales?
1. Cover Page (5 points) with the title of your study, your name, type of assignment, Brandman University, MATU 103, term of enrollment, and year of attendance. A picture on the cover representing your paper is welcomed. Note that the paper must have your name on each page with the page number. You must have 1 inch margins and be in a standard text format like Times New Roman.
2. Labeling – (5 points) All images, charts, graphs, must be titled, labeled., and numbered in proper format.
3. Situation Analysis Part 1 (40 points) explaining the topic of the paper and citing a minimum of 2 sources outside of the textbook that add more depth to the topic. These sources must be in APA or MLA format in your reference section. Give the background, explain the history, and describe the underlying ideas that frame the discussion. One or more charts/graphs/images are required with a source and title of the chart/graph/images.
4. Research and Data Part 2 i(40 points) s required that support the explanation of the situation in part 2 along with an explanation of how that data fits into the big picture. You should cite your sources for your part two research and data.
5. Reference Page (5 Points) – The references to the part 1 research and parts 1 and 2 research and data should be in APA or MLA format. Make sure you “page break” your reference section and appendix.
6. Appendix (5 Points) – An appendix is required and should include or original data, tables, or information that would be a burden to the reader if it were in the body of the paper. While important charts, graphs, images, critical data, and research related to the discussion should be in the body of the text, additional information like data, spreadsheets, documents, templates, spreadsheets, code, supplementary materials should be in the appendix.
 
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