A linear programming computer package is needed. 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. Constraint Audience per advertisement Radio Online Cost per advertisement Maximum media usage Television Radio 300,000 54,000 120,000 $300 $600 $2,000 10 20 Online 10 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. (a) If the promotional budget is limited to $25,100, how many commercial messages should be run on each medium to maximize total audience contact? Television What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget Radio Budget Online Budget Total Audience (b) By how much would audience contact increase if an extra $100 were allocated to the promotional budget? (Round your answer to the nearest whole number.)

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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A linear programming computer package is needed.
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.
Constraint
Audience per advertisement
Cost per advertisement
Maximum media usage
Radio
Online
Television Radio
300,000 54,000 120,000
$600
$2,000
10
$300
Online
20
10
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.
(a) If the promotional budget is limited to $25,100, how many commercial messages should be run on each medium to maximize total audience contact?
Television
What is the allocation of the budget among the three media, and what is the total audience reached?
Television Budget
Radio Budget
Online Budget
Total Audience
(b) By how much would audience contact increase if an extra $100 were allocated to the promotional budget? (Round your answer to the nearest whole number.)
Transcribed Image Text:A linear programming computer package is needed. 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. Constraint Audience per advertisement Cost per advertisement Maximum media usage Radio Online Television Radio 300,000 54,000 120,000 $600 $2,000 10 $300 Online 20 10 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. (a) If the promotional budget is limited to $25,100, how many commercial messages should be run on each medium to maximize total audience contact? Television What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget Radio Budget Online Budget Total Audience (b) By how much would audience contact increase if an extra $100 were allocated to the promotional budget? (Round your answer to the nearest whole number.)
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