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 300,000 $2,000 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. Online 54,000 120,000 $300 10 $ 20 $600 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 Radio Online What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget (in dollars) $ 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.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Subject: calculus 

 

 

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
300,000 54,000
$2,000
$300
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
10
Online
120,000
$600
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
What is the allocation of the budget among the three media, and what is the total audience reached?
Television Budget (in dollars) $
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.)
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. Television Radio 300,000 54,000 $2,000 $300 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 10 Online 120,000 $600 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 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget (in dollars) $ 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.)
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