The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year’s program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown. To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized. Given the promotional budget is $18,200, formulate the linear programming problem.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.4: Applications Of Eigenvalues And Eigenvectors
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The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year’s program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown. To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized. Given the promotional budget is $18,200, formulate the linear programming problem. 

Constraint
Audience per
advertisement
Cost per
advertisement
Maximum media
usage
Television
100,000
$2000
10
Radio
18,000
$300
20
Online
40,000
$600
10
Transcribed Image Text:Constraint Audience per advertisement Cost per advertisement Maximum media usage Television 100,000 $2000 10 Radio 18,000 $300 20 Online 40,000 $600 10
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