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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 $2,200,000 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 $2,200,000 be allocated to each of the loan/investment alternatives (in dollars) to maximize total annual return? Automobile loans $825,000 Furniture loans $ 330,000 Other secured loans $ 330,000 Signature loans Risk-free securities $ 110,000 $ 660,000 What is the projected total annual return (in dollars)? $ 217,800

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 $2,200,000 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 $2,200,000 be allocated to each of the loan/investment alternatives (in dollars) to maximize total annual return? Automobile loans $825,000 Furniture loans $ 330,000 Other secured loans $ 330,000 Signature loans Risk-free securities $ 110,000 $ 660,000 What is the projected total annual return (in dollars)? $ 217,800

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 45P: A project does not necessarily have a unique IRR. (Refer to the previous problem for more...
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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 $2,200,000 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 $2,200,000 be allocated to each of the loan/investment alternatives (in dollars) to maximize total annual return? Automobile loans $825,000 Furniture loans $ 330,000 Other secured loans $ 330,000 Signature loans Risk-free securities $ 110,000 $ 660,000 What is the projected total annual return (in dollars)? $ 217,800
Transcribed Image Text: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 $2,200,000 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 $2,200,000 be allocated to each of the loan/investment alternatives (in dollars) to maximize total annual return? Automobile loans $825,000 Furniture loans $ 330,000 Other secured loans $ 330,000 Signature loans Risk-free securities $ 110,000 $ 660,000 What is the projected total annual return (in dollars)? $ 217,800
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