together with annual rates of return, are as follows.

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$,$ fumiture, other secured, and signature loans$).$

Fumiture 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 $$2,600,000$ be allocated to each of the loan$/$investment alternatives $($in dollars$)$ to maximize total annual return?

Automobile loans

Furniture loans

$

Other secured loans

Signature loans

Risk$-$free securities

What is the projected total annual return $($in dollars$)?$

$