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. Television Radio Online 400,000 72,000 160,000 $300 $600 $2,000 10 20 Constraint 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. Radio Online (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 7 10 17 10 What is the allocation of the budget among the three media, and what is the total audience reached? $ 14000 Television Budget (in dollars) Radio Budget (in dollars) Online Budget (in dollars) $ 5100 $ 6000 Total Audience 5624000 (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 x
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. Television Radio Online 400,000 72,000 160,000 $300 $600 $2,000 10 20 Constraint 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. Radio Online (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 7 10 17 10 What is the allocation of the budget among the three media, and what is the total audience reached? $ 14000 Television Budget (in dollars) Radio Budget (in dollars) Online Budget (in dollars) $ 5100 $ 6000 Total Audience 5624000 (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 x
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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Nn. 128.
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 400,000 72,000 160,000
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 $25,100, how many commercial messages should be run on each medium to maximize total audience contact?
Television 7
Radio
Online
17
10
What is the allocation of the budget among the three media, and what is the total audience reached?
Television Budget (in dollars)
$ 14000
$ 5100
Radio Budget (in dollars)
Online Budget (in dollars)
Total Audience
$ 6000
5624000
(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
x
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