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 Online Television Radio 300,000 54,000 120,000 $300 $600 $2,000 10 Constraint Audience per advertisement Cost per advertisement Maximum media usage 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 $15.900, how many commercial messages should be run on each medium to maximize total audience contact?

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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
Audience per advertisement
Cost per advertisement
Maximum media usage
10
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 $15,900, how many commercial messages should be run on each medium to maximize total audience contact?
Television
Radio
Online
Television Radio Online
300,000
54,000 120,000
$2,000
$300 $600
Radio Budget (in dollars)
Online Budget (in dollars)
Total Audience
20
What is the allocation of the budget among the three media, and what is the total audience reached?
Television Budget (in dollars) $
$
(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 Constraint Audience per advertisement Cost per advertisement Maximum media usage 10 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 $15,900, how many commercial messages should be run on each medium to maximize total audience contact? Television Radio Online Television Radio Online 300,000 54,000 120,000 $2,000 $300 $600 Radio Budget (in dollars) Online Budget (in dollars) Total Audience 20 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget (in dollars) $ $ (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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