CPS Investment Services must develop an investment portfolio for a new client. CPS is considering six investment plans of three different types for this client. The investment plans with their expected yield are given below:
Investment Plan - Estimated Annual Return (%)
A1 - 6
A2 - 5
B1 - 7
B2 - 8
C1 - 10
C2 - 9
The client is interested to invest $80,000. To minimize the risk in investment, it is the CPS’s policy that at least 40% of the entire amount be invested in units of type A and not more than 35% in type B or type C plan. Formulate the problem as an LP model in order to maximize the total return.