The firm will have a maximum of $2,500,000 available for investment during the coming year. In order to create a diverse portfolio, the credit union has established the following investment restrictions: • Risk free securities may not exceed 30% of the total funds invested but must comprise at least 5% of the total funds invested. • Signature loans may not exceed 12% of the funds invested in all loans (vehicle, consumer, other secured loans, and signature loans). • Consumer loans plus other secured loans may not exceed the vehicle loans. • Other secured loans plus signature loans may not exceed the funds invested in risk free securities. Formulate a linear programming model that will help the credit union decide on how best to allocate funds among each alternative to maximize annual returns. Keep in mind that the company does not have to invest the entire $2,500,000.