Mike has the opportunity to invest $20,000 in treasury bills, Euro bonds, municipal bonds and commercial paper. According to his financial advisor, Mike must invest no more than $10,000 in both the Euro bonds and commercial paper; at least $8,000 in both municipal bonds and treasury bill; and at most $3,000 in commercial paper. Mike's goal is to maximize his return on investment. The expected yearly returns are summarized in the following table: Investment Treasury Bills Euro Bonds Municipal Bonds Commercial Paper Expected Return (%) 4.5 6 8 7 1. Identify the decision variables. 2. Identify and formulate the objective function. 3. Identify and formulate the constraints. 4. Formulate the above investment problem as a Linear Programming Model.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Mike has the opportunity to invest $20,000 in treasury bills, Euro bonds, municipal bonds
and commercial paper. According to his financial advisor, Mike must invest no more than
$10,000 in both the Euro bonds and commercial paper; at least $8,000 in both municipal
bonds and treasury bill; and at most $3,000 in commercial paper. Mike's goal is to
maximize his return on investment. The expected yearly returns are summarized in the
following table:
Investment
Treasury Bills
Euro Bonds
Municipal Bonds
Commercial Paper
Expected Return (%)
4.5
6
8
7
1.
Identify the decision variables.
2. Identify and formulate the objective function.
3. Identify and formulate the constraints.
4. Formulate the above investment problem as a Linear Programming Model.
Transcribed Image Text:Mike has the opportunity to invest $20,000 in treasury bills, Euro bonds, municipal bonds and commercial paper. According to his financial advisor, Mike must invest no more than $10,000 in both the Euro bonds and commercial paper; at least $8,000 in both municipal bonds and treasury bill; and at most $3,000 in commercial paper. Mike's goal is to maximize his return on investment. The expected yearly returns are summarized in the following table: Investment Treasury Bills Euro Bonds Municipal Bonds Commercial Paper Expected Return (%) 4.5 6 8 7 1. Identify the decision variables. 2. Identify and formulate the objective function. 3. Identify and formulate the constraints. 4. Formulate the above investment problem as a Linear Programming Model.
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