StockCo is considering five investments. The net present value (NPV) and capital require- ments over the next two years are summarized as follows: Net Present Capital Requirements ($) Value ($) Year 1 Year 2 Investment 1 4,000 2,500 1,000 Investment 2 6,000 2,000 3,500 Investment 3 10,000 6,500 2,500 Investment 4 7,000 5,000 1,500 Investment 5 2,500 1,000 1,000 Capital funds available for year 1 and year 2 are $7,500 and $5,500 respectively. In addition, StockCo needs to satisfy the following requirements: •StockCo can invest in at most three investments. •Investment 2 or 3 must be invested but not both. •If Investments 1 and 5 must be invested, they must be invested simultaneously. •If StockCo invests in investment 2, they must also invest in investment 4. a) Formulate an Integer Programming that will maximize the NPV of Stockco from all investments. b) Solve the problem by using Excel Solver. Show the optimal solution and optimal value in your printouts.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
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StockCo is considering five investments. The net present value (NPV) and capital require-
ments over the next two years are summarized as follows:
Net Present Capital Requirements ($)
Value ($) Year 1 Year 2
Investment 1 4,000 2,500 1,000
Investment 2 6,000 2,000 3,500
Investment 3 10,000 6,500 2,500
Investment 4 7,000 5,000 1,500
Investment 5 2,500 1,000 1,000
Capital funds available for year 1 and year 2 are $7,500 and $5,500 respectively. In addition,
StockCo needs to satisfy the following requirements:
•StockCo can invest in at most three investments.
•Investment 2 or 3 must be invested but not both.
•If Investments 1 and 5 must be invested, they must be invested simultaneously.
•If StockCo invests in investment 2, they must also invest in investment 4.
a) Formulate an Integer Programming that will maximize the NPV of Stockco from all
investments.
b) Solve the problem by using Excel Solver. Show the optimal solution and optimal value in your printouts.

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