# run solver excel equation model hw5

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1. (Chapter 7 in Edition 4 – Question 36) Add a new stock, stock 4, to the model in Example 7.9. Assume that the estimated mean and standard deviation of return for stock 4 are 0.125 and 0.175, respectively. Also, assume the correlations between stock 4 and the original 3 stocks are 0.3, 0.5, and 0.8. Run Solver on the modified model, where the required expected portfolio return is again 0.12. Is stock in the optimal portfolio? Then run SolverTable as in the example. Is stock 4 in any of the optimal portfolios on the efficient frontier?

2. (Chapter 7 in Edition 4 – Question 54) A company manufactures two products. If it charges price pi for product i, it can sell qi units of product i, where q1 = 60 âˆ’ 3p1 + p2 and q2 = 80 âˆ’ 2p2 + p1. It costs $5 to produce a unit of product 1 and $12 to produce a unit of product 2. How many units of each product should the company produce, and what prices should it charge, to maximize its profit?

3. (Chapter 8 in Edition 4 – Question 15: Classification) Review Section 8.8 on Clustering Analysis. The file P08-15.xlsx contains the following information about the top 25 MBA programs (according to the 1997 Business Week Guide): percentage of applicants accepted, percentage of accepted applicants who enroll, mean GMAT score of enrollees, mean undergraduate GPA of enrollees, annual cost of school (for state schools, this is the cost for out-of-state students), 1 percentage of students who are minorities, percentage of students who are non-U.S. residents, and mean starting salary of graduates (in thousands of dollars). Use these data to divide the top 25 schools into 4 clusters using the clustering approach in Section 8.8. Then interpret your clusters.