a) Identify the decision variables, objective function, and constraints in simple verbal expressions. b) Mathematically formulate a linear optimization model. c) Use Solver to find an optimal solution.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A brand manager for ColPal Products must determine how much time to allocate between
radio and television advertising during the next month. Market research has provided
estimates of the audience exposure for each minute of advertising in each medium, which
it would like to maximize, Costs per minute of advertising are also known, and the
manager has a limited budget of $25,000. The manager has decided that because
television ads have been found to be much more effective than radio ads, at least 70% of
the time should be allocated to television. Suppose that we have the following data:
Type of Ad Exposure/Minute Cost/Minute
Radio
350
$400
TV
800
$2,000
a) Identify the decision variables, objective function, and constraints in simple verbal
expressions.
b) Mathematically formulate a linear optimization model.
c) Use Solver to find an optimal solution.
Transcribed Image Text:A brand manager for ColPal Products must determine how much time to allocate between radio and television advertising during the next month. Market research has provided estimates of the audience exposure for each minute of advertising in each medium, which it would like to maximize, Costs per minute of advertising are also known, and the manager has a limited budget of $25,000. The manager has decided that because television ads have been found to be much more effective than radio ads, at least 70% of the time should be allocated to television. Suppose that we have the following data: Type of Ad Exposure/Minute Cost/Minute Radio 350 $400 TV 800 $2,000 a) Identify the decision variables, objective function, and constraints in simple verbal expressions. b) Mathematically formulate a linear optimization model. c) Use Solver to find an optimal solution.
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