Formulate the Linear programming model for the problem to maximize the total expected effective exposure
a) Magnate Ventures an advertising agency is preparing an advertising campaign for a group of agencies. These agencies have decided that their target customers should have the following characteristics with importance (weightage) as given below.
characteristics Weightage(%)
Age
Annual income
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25 – 45 years
Above Sh. 80,000
Married
20
40
40
The agency has made a careful analysis of three media and has compiled the following data:
Data Item Media
Magazine Radio Television
Audience size (‘000)
Cost per advertisement (Sh.)
Min. no. of advertisements allowed
800
10,000
15
1000
30,000
10
1500
100,000
10
Max. no. of advertisements allowed
Reader Characteristics
Age 25 – 45 years
Annual income above Sh. 80,000
Females married
25
70%
60%
45%
15
60%
50%
40%
15
50%
40%
30
The advertising agency has earmarked a budget of Sh. 1000,000 for this purpose.
Formulate the Linear programming model for the problem to maximize the total expected
effective exposure. (12marks)
b) Find the local maximum and local minimum values, if any, of the function:
y = (8marks
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