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, media usage limitations are as shown: Constraint Television Radio Online Audience per adverticament 150.000 17.000 35.000

Practical Management Science
6th Edition
ISBN:9781337406659
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 150,000 17,000 35,000
Cost per advertisement
$1,500 $250 $500
Maximum media usage
18
11
To ensure a balanced use of advertising media, radio advertisements must not exceed 45% 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 $24,000, how many commercial messages should be run on each medium to maximize total audience contact? If your answer is zero enter "0".
No of commercial
Advertisement Alternatives
Television
Radio
Online
Television
12
Radio
Online
$
What is the allocation of the budget among the three media?
Advertisement Alternatives Budget Allocation
$
messages
What is the total audience reached?
2,244,000
18
18
0
22500
1600
X
0
X
(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.
Increase in audience coverage of approximately
9,000
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 150,000 17,000 35,000 Cost per advertisement $1,500 $250 $500 Maximum media usage 18 11 To ensure a balanced use of advertising media, radio advertisements must not exceed 45% 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 $24,000, how many commercial messages should be run on each medium to maximize total audience contact? If your answer is zero enter "0". No of commercial Advertisement Alternatives Television Radio Online Television 12 Radio Online $ What is the allocation of the budget among the three media? Advertisement Alternatives Budget Allocation $ messages What is the total audience reached? 2,244,000 18 18 0 22500 1600 X 0 X (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. Increase in audience coverage of approximately 9,000
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