producing investments together with annual rates of return are as follows:

Risk$-$free securities may not exceed $35\%$ of the total funds available for investment.

Signature loans may not exceed $12\%$ 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\mathrm{.}9$ million be allocated to each of the loan$/$investment alternatives to maximize total annual return?

What is the projected total annual return?

Annual Return $=$$