The total amount of capital available for these investments is $100million. Investment opportunities 1 and 2 are mutually exclusive,and so are 3 and 4. Furthermore, neither 3 nor 4 can be undertakenunless one of the first two opportunities is undertaken. There areno such restrictions on investment opportunities 5, 6, and 7. Theobjective is to select the combination of capital investments thatwill 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