An independent political candidate wants to run both TV and radio advertisements. Suppose that each minute of TV advertising is expected to reach 15,000 people, and each minute of radio advertising is expected to reach 7,000 people. Each minute of TV advertising costs $1,600 and each minute of radio advertising costs $600. The candidate has a maximum of $60,000 to spend on advertising. She wants to maximise the number of people that her advertising reaches, but doesn't want to oversaturate the electorate, so wants the total number of minutes to be no more than 80. (a) Formulate this problem as a linear optimisation problem. (b) Solve this linear optimisation problem using the graphical method.
An independent political candidate wants to run both TV and radio advertisements. Suppose that each minute of TV advertising is expected to reach 15,000 people, and each minute of radio advertising is expected to reach 7,000 people. Each minute of TV advertising costs $1,600 and each minute of radio advertising costs $600. The candidate has a maximum of $60,000 to spend on advertising. She wants to maximise the number of people that her advertising reaches, but doesn't want to oversaturate the electorate, so wants the total number of minutes to be no more than 80. (a) Formulate this problem as a linear optimisation problem. (b) Solve this linear optimisation problem using the graphical method.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Transcribed Image Text:An independent political candidate wants to run both TV and radio
advertisements.
Suppose that each minute of TV advertising is expected to reach 15,000
people, and each minute of radio advertising is expected to reach 7,000
people. Each minute of TV advertising costs $1,600 and each minute
of radio advertising costs $600. The candidate has a maximum of
$60,000 to spend on advertising. She wants to maximise the number
of people that her advertising reaches, but doesn't want to oversaturate
the electorate, so wants the total number of minutes to be no more
than 80.
(a) Formulate this problem as a linear optimisation problem.
(b) Solve this linear optimisation problem using the graphical method.
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