The board of directors of General Wheels Co. is considering seven large capital investments. Each investment can be made only once. These investments differ in the estimated long-run profit (net present value) that they will generate as well as in the amount of capital required, as shown by the following table.

The total amount of capital available for these investments is $100 million. Investment opportunities 1 and 2 are mutually exclusive, and so are 3 and 4. Furthermore, neither 3 nor 4 can be undertaken unless one of the first two opportunities is undertaken.
There are no such restrictions on investment opportunities 5, 6, and 7. The objective is to select the combination of capital investments that will maximize the total estimated long-run profit (net present value).
a. Formulate and solve a BIP model on a spreadsheet for this problem.
b. Perform sensitivity analysis on the amount of capital made available for the investment opportunities by generating a parameter analysis report with RSPE to solve the model with the following amounts of capital (in millions of dollars): 80, 90, 100, 110, . . . , and 200. Include both the changing cells and the objective cell as output cells in the parameter analysis report?

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Estimated Profit (millions) Capital Required (millions) Investment Opportunity $17 $43 28 10 15 34 4 19 48 17 6. 13 32 23