The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue-producing investments together with annual rates of return are as follows. Type of Loan/Investment Annual Rate of Return (%) Automobile loans 9 Furniture loans 11 Other secured loans 12 Signature loans 13 Risk-free securities 10 The credit union will have $2,600,000 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 $2,600,000 be allocated to each of the loan/investment alternatives to maximize total annual return? Automobile loans$ Furniture loans$ Other secured loans$ Signature loans$ Risk-free securities$ What is the projected total annual return? $

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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

Type of Loan/Investment	Annual Rate of Return (%)
Automobile loans	9
Furniture loans	11
Other secured loans	12
Signature loans	13
Risk-free securities	10

The credit union will have $2,600,000 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 $2,600,000 be allocated to each of the loan/investment alternatives to maximize total annual return?

Automobile loans$ Furniture loans$ Other secured loans$ Signature loans$ Risk-free securities$

What is the projected total annual return?

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