A trust officer at the Blacksburg National Bank needs to determine how to invest $150,000 in the following collection of bonds to maximize the annual return.   Bond Annual Return Maturity Risk Tax Free A 9.5% Long High Yes B 8.0% Short Low Yes C 9.0% Long Low No D 9.0% Long High Yes E 9.0% Short High No   The officer wants to invest at least 40% of the money in short-term issues and no more than 20% in high-risk issues.  At least 25% of the funds should go in tax-free investments, and at least 45% of the total annual return should be tax free. Formulate the LP model for this problem. Create the spreadsheet model and use Solver to solve the problem.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A trust officer at the Blacksburg National Bank needs to determine how to invest $150,000 in the following collection of bonds to maximize the annual return.

 

Bond

Annual Return

Maturity

Risk

Tax

Free

A

9.5%

Long

High

Yes

B

8.0%

Short

Low

Yes

C

9.0%

Long

Low

No

D

9.0%

Long

High

Yes

E

9.0%

Short

High

No

 

The officer wants to invest at least 40% of the money in short-term issues and no more than 20% in high-risk issues.  At least 25% of the funds should go in tax-free investments, and at least 45% of the total annual return should be tax free.

  1. Formulate the LP model for this problem.
  2. Create the spreadsheet model and use Solver to solve the problem.

 

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