Dear Tutor,

I would love to have your help on this Linear Optimization Model question. I don't need (and was not given) a graph in my answer, but will need equations for each subset, and finally put them into Microsoft Excel Solver.

Question:

Sheila earned a $68,000 bonus which she would like to invest in the stock market. She is planning to buy shares of AMI and BCM.

The expected annual return is $2.75 per share for AMI and $5.75 per share for BCM. AMI costs $25 per share and BCM costs $50 per share.

Sheila would like to limit the risk in her stock portfolio. The risk is 0.45 per share of AMI and 0.35 per share of BCM. She wants the total risk of her stock portfolio to be at most 700. In addition, to make sure the portfolio is diversified she wants to invest in no more than 1,000 shares of BCM.

a)Formulate a linear optimization model that Sheila could use to decide how many shares of each stock to buy in order to maximize the total expected annual return of the portfolio subject to the constraints.

b)Use Excel to solve the linear optimization problem. Submit your Excel file. (in this case, we can have detailed screenshots)

c)How many shares of each stock should Sheila purchase?

d)What is the expected annual return of the portfolio?

e)Which constraints are binding?