The employee credit

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter11: Linear Optimization Models
Section: Chapter Questions
Problem 11P: The employee credit union at State University is planning the allocation of funds for the coming...
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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
Automobile loans
Furniture loans
Other secured loans
Signature loans
Risk-free securities
$
●
Automobile loans
The credit union will have $2,400,000 available for investment during the ng year. State laws and credit union policies
impose the following restrictions on the composition of the loans and investments.
Furniture loans
Other secured loans
• 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).
Signature loans
Risk-free securities
• 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?
$
Annual Rate of Return (%)
$
$
9
$
11
$
12
What is the projected total annual return (in dollars)?
13
10
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 Automobile loans Furniture loans Other secured loans Signature loans Risk-free securities $ ● Automobile loans The credit union will have $2,400,000 available for investment during the ng year. State laws and credit union policies impose the following restrictions on the composition of the loans and investments. Furniture loans Other secured loans • 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). Signature loans Risk-free securities • 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? $ Annual Rate of Return (%) $ $ 9 $ 11 $ 12 What is the projected total annual return (in dollars)? 13 10
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