1. The board of directors of General Wheels Co. is considering seven large capital invest- ments. 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 (in units of millions of dollars): The total Investment Opportunity 1234567 Estimated profit 17 Capital required 43 10 10 15 19 7 13 9 28 34 48 17 32 23 amount of capital available for these investments is $100 million. Investment opportuni- ties 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). Formulate this problem as an IP.