Quadratic programming

Primary Prompt: A quadratic programming model is an optimization model with n decision variables and m linear constraints, and of the form: Minimize Z (Ix + cTx Subject.: Ax,b x0 Where x is the n by 1 column vector of decision variables and xT is its transpose, Q is an n by n symmetric matrix of the objective parameters, c A an n by 1 vector of additional objective parameters, A A an rn by n matrix of constrain. parameters, and b is an m by 1 vector of constraints: right hand sides.

  1. Explain how quadratic programming A used A 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 who Z. x, Q, C, A, and b are in your example.
  2. Describe how you would handle solving a quadratic programming problem in which mme of the problem parameters are random variables as opposed to being mnstant values. Make sure that you include a specific example of application in your response.