Formulate a linear programming problem that can be used to solve the following question. Suppose for an investment no more than $18,000 is placed in three mutual funds with annual returns of 5%, 9%, and 11%, respectively. The investor requires an annual return of at least $1350 and wishes to minimize the risk. The second mutual fund is twice as risky as the first, and the third is 4 times as risky as the first. How should the money be allocated to minimize the risk? Let risk = X1 + 2x2 + 4x3. X1 = amount of money in dollars invested in the first fund x2 = amount of money in dollars invested in the second fund X3 = amount of money in dollars invested in the third fund Minimize 9 F= (x + 2y) + 42 (objective function) Subject to x1 + x2 + x3 1350 *1 2 A 0, x2 2 A 0,x3 2 A O Additional Materials