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The University's Employee Credit Union Has $8 Million Available for Loans

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The University's employee credit union has $8 million available for loans in the coming year. As VP in charge of finances, you must decide how much capital to allocate to each of four different kinds of loans, as shown in the table.
 Type of Loan  Annual Rate of  Return  Automobile 8% Furniture 10% Signature 12% Other secured 10%\begin{array} { | c | c | } \hline \text { Type of Loan } & \begin{array} { c } \text { Annual Rate of } \\\text { Return }\end{array} \\\hline \text { Automobile } & 8 \% \\\hline \text { Furniture } & 10 \% \\\hline \text { Signature } & 12 \% \\\hline \text { Other secured } & 10 \% \\\hline\end{array}
State laws and credit union policies impose the following restrictions:
Signature loans may not exceed 10 percent of the total investment of funds.
Furniture loans plus other secured loans may not exceed automobile loans.
Other secured loans may not exceed 200 percent of automobile loans.
How much should you allocate to each type of loan to maximize the annual return
Allocate $__________ to automobile loans, $__________ to signature loans, and $__________ to any combination of furniture loans and other secured loans.


Definitions:

Form 1120

The U.S. Corporate Income Tax Return, a form used by corporations to report their income, gains, losses, deductions, and credits to the IRS.

C Corporations

A type of business entity that is taxed separately from its owners, providing limited liability to its shareholders.

Tax Returns

Formal documents filed with tax authorities that report income, expenses, and other pertinent tax information.

Corporate Distributions

Payments made by a corporation to its shareholders from its earnings.

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