Formulate a linear programming problem that can be used to solve the following question.

Suppose for an investment no more than $10,000 is placed in three mutual funds with annual returns of 4%, 7%, and 12%, respectively. The investor requires an annual return of at least $750 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

---Select--- Maximize Minimize	F = 0.4x+0.7y+0.12z	(objective function)
Subject to		(dollars available)
		(total investment return)