quadratic programming

Explain how quadratic programming is used in the real world. Provide a specific example from your own line of work, or a line of work that you find particularly interesting. Indicate explicitly and qualitatively what Z, x, Q, C, A, and b are in your example.
Harry Markowitz, and Myron Scholes along with Robert Merton are the Nobel Laureates in Economics in 1990 (Markowitz) and 1996 (Scholes and Merton) respectively. Markowitz won the Nobel award for devising his Modern Portfolio Theory (also called: the Markowitz Portfolio Theory – MPT) in 1952. Scholes and Merton were the recipients of Nobel for their Option Pricing and Volatility models introduced in early 1980s. Explain how each of the above two models (MPT and Option Pricing) are related to quadratic programming. Describe the decision variables, the objective function, and the constraints for each model.