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, a maximum media usage limitations are as shown. Constraint Audience per advertisement Cost per advertisement Radio Online Maximum media usage Television Radio Online 300,000 54,000 120,000 $2,000 $300 $600 10 Radio Budget Online Budget Total Audience 20 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 10 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget (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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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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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
Radio
Online
Audience per advertisement
Cost per advertisement
Maximum media usage
Television
300,000
$2,000
10
Radio Online
54,000 120,000
$300
20
$600
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 Radio Online Audience per advertisement Cost per advertisement Maximum media usage Television 300,000 $2,000 10 Radio Online 54,000 120,000 $300 20 $600 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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