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 Television Radio Online Audience per advertisement 300,000 54,000 120,000 $600 Cost per advertisement $2,000 $300 Maximum media usage 10 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 $20,500, how many commercial messages should be run on each medium to maximize total audience contact? Television Radio Online What is the allocation of the budget among the three media, and what s the total audience reached? Television Budget Radio Budget Online Budget

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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: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.)
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
Television Radio
Online
Audience per advertisement
300,000
54,000
120,000
Cost per advertisement
$2,000
$300
$600
Maximum media usage
10
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 $20,500, how many commercial messages should be run on each medium to maximize total audience contact?
Television
Radio
Online
What is the allocation of the budget among the three media, and what is the total audience reached?
Television Budget
Radio Budget
Online Budget
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 Television Radio Online Audience per advertisement 300,000 54,000 120,000 Cost per advertisement $2,000 $300 $600 Maximum media usage 10 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 $20,500, how many commercial messages should be run on each medium to maximize total audience contact? Television Radio Online What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget Radio Budget Online Budget
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