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 presentvalue).(a)Formulate a BIP model for this problem.C(b)Use the computer to solve this model