The IAF Company is an investment advisory firm. IAF needs to invest $200,000 from a client in three types of funds: a growth stock fund, an income fund, and a money market fund. The annual rate of return for the three funds are 14%, 7% and 4% respectively. The calculated risk measure values are 0.12, 0.06 and 0.01 respectively.

The client would like to minimize the risk of the portfolio while satisfying the following conditions:

(a) All of $200,000 must be divided among the three funds.

(b) The amount in the money market fund must be at least 30% of the amount in the growth fund.

Using the following decision variables, type the parts of the linear programming model mentioned in the questions below.

Let G = amount of $ invested in growth fund,

I = amount of $ invested in income fund,

M = amount of $ invested in money market fund.

The answers should be in an algebraic form, e.g., 2 G + 3 I + 4 M, not Excel formulas.