A linear programming computer package is needed.

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

$\backslash$table$[[$Type of Loan$/$Investment$,$Annual Rate of Return $(\%)],[$Automobile loans,$7],[$Furniture loans,$9],[$Other secured loans,$10],[$Signature loans,$11],[$Risk$-$free securities$,8]]$

The credit union will have $$2,400,000$ available for investment during the coming year. State laws and credit union impose the following restrictions on the composition of the loans and investments.

Risk$-$free securities may not exceed $30\%$ of the total funds available for investment.

Signature loans may not exceed $10\%$ of the funds invested in all loans $($automobile$,$ furniture, other 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 $$2,400,000$ be allocated to each of the loan$/$investment alternatives to maximize total annual retu

Automobile loans

Furniture loans

Other secured loans

Signature loans

Risk$-$free securities

What is the projected total annual return?