To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television sho authorized. (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 5 15 10 Radio Online What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget (in dollars) $ 10000 $ (4500 $ 6000 1868000 Radio Budget (in dollars) Online Budget (in dollars) 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.) 10261

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter11: Linear Optimization Models
Section: Chapter Questions
Problem 9P: The Westchester Chamber of Commerce periodically sponsors public service seminars and programs....
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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
200,000
36,000
80,000
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 $22,800, how many commercial messages should be run on each medium to maximize total audience contact?
Television
Radio
15
Online
10
What is the allocation of the budget among the three media, and what is the total audience reached?
Television Budget (in dollars)
$ 10000
Radio Budget (in dollars)
$ 4500
Online Budget (in dollars)
$ 6000
Total Audience
1868000
(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.)
10261
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 200,000 36,000 80,000 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 $22,800, how many commercial messages should be run on each medium to maximize total audience contact? Television Radio 15 Online 10 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget (in dollars) $ 10000 Radio Budget (in dollars) $ 4500 Online Budget (in dollars) $ 6000 Total Audience 1868000 (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.) 10261
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Budget is termed as surplus if the expenses are lesser than the income. It is balanced if income meets the expenditure and it is a deficit budget if expenses are higher than the income.

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