The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenueproducing investments together with annual rates of return are as follows:

Type of Loan/InvestmentAnnual Rate of Return (%)Automobile loans8Furniture loans9Other secured loans13Signature loans14Risk-free securities7The credit union will have $1.9 million available for investment during the coming year. State laws and credit union policies impose the following restrictions on the composition of the loans and investments:

• Risk-free securities may not exceed 20% of the total funds available for investment.
• Signature loans may not exceed 14% of the funds invested in all loans (automobile, furniture, other secured, and signature loans).
• Furniture loans plus other secured loans may not exceed the automobile loans.
• Other secured loans plus signature loans may not exceed the funds invested in risk-free securities.

How should the $1.9 million be allocated to each of the loan/investment alternatives to maximize total annual return?

Automobile Loans$fill in the blank 1

Furniture Loans$fill in the blank 2

Other Secured Loans$fill in the blank 3

Signature Loans$fill in the blank 4

Risk Free Loans$fill in the blank 5

What is the projected total annual return?

$fill in the blank 6