An investor is considering the following two investments.•Investment 1 has an expected rate of return (profit) of 8% and costs $40 per share.•Investment 2 has an expected rate of return (profit) of 5% and costs $30 per share.The investor has $100 to invest to maximize her total expected rate of return, and shemust buy whole shares (not partial/factional shares) of the investments.(a) Formulate the investor’s integer programming problem.(b) Solve the investor’s problem using branch and bound and explain youranswer. How much of each investment does the investor purchase?

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter17: Making Decisions With Uncertainty
Section: Chapter Questions
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An investor is considering the following two investments.•Investment 1 has an expected rate of return (profit) of 8% and costs $40 per share.•Investment 2 has an expected rate of return (profit) of 5% and costs $30 per share.The investor has $100 to invest to maximize her total expected rate of return, and shemust buy whole shares (not partial/factional shares) of the investments.(a) Formulate the investor’s integer programming problem.(b) Solve the investor’s problem using branch and bound and explain youranswer. How much of each investment does the investor purchase?

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