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 Television Radio Online 200,000 36,000 80,000 $2,000 $300 $600 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.

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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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.
Constraint
Television
Radio
Online
Audience per advertisement
Cost per advertisement
Maximum media usage
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.
200,000
$2,000
Radio
Online
36,000 80,000
$300
$600
10
20
10
(a) If the promotional budget is limited to $22,800, how many commercial messages should be run on each medium to maximize total
audience contact?
Television 6
16
10
What is the allocation of the budget among the three media, and what is the total audience reached?
Television Budget (in dollars)
$ 12000
$ 4800
Radio Budget (in dollars)
Online Budget (in dollars)
$ 6000
Total Audience
2576000
(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.)
15391
Transcribed Image Text: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 Cost per advertisement Maximum media usage 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. 200,000 $2,000 Radio Online 36,000 80,000 $300 $600 10 20 10 (a) If the promotional budget is limited to $22,800, how many commercial messages should be run on each medium to maximize total audience contact? Television 6 16 10 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget (in dollars) $ 12000 $ 4800 Radio Budget (in dollars) Online Budget (in dollars) $ 6000 Total Audience 2576000 (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.) 15391
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