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The credit union will have $ 2 , 4 0 0 , 0 0 0 available for investment during the coming year. State laws and

The credit union will have $2,400,000 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 30% of the total funds available for investment.
Signature loans may not exceed 10% 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 $2,400,000 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)?
$
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