Ivana Miracle wishes to invest up to her full inheritance of $300,000, and her goal is to minimize her risk subject to an expected annual return of at least $30,000

She has decided to invest her money in any of three possible ways—CDs, which pay a guaranteed 6 percent; stocks, which have an expected return of 15 percent; and a money market mutual fund, which is expected to return 8 percent. Risk factors are 1.0 for the CDs, 3.6 for the stocks, and 1.8 for the money market fund. Formulate this as a linear program.

Let C = dollars invested in CDs
Let S = dollars invested in stocks
Let M = dollars invested in the money market mutual fund

Minimize C + 3.6S + 1.8M
Subject to: 0.06C + 0.15S + 0.08M ? 30,000
C + S + M ? 300,000
C,S,M ? 0