A financial consultant needs to develop an investment portfolio for his client from the following list of possible investments:

Investment

Cost ( Expected Return ()

A 5,000 500

B 8000 640

C 3500 390

D 10,000 700

E 8500 750

F 12,000 1,000

G 4,000 300

The client has a total of 30,000 to invest.The following conditions must be met:

oIf investment F is chosen, then investment G must also be part of the portfolio.

oAt least four of the investments must be chosen.

oOf investments A and B, exactly one must be included.

Required:

Formulate a 0-1 integer programming model for the problem.