A linear programming computer package is needed. 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 Radio Audience per advertisement Cost per advertisement Online Maximum media usage Television 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 $20,500, how many commercial messages should be run on each medium to maximize total audience contact? Radio Budget Television Radio Online 200,000 36,000 80,000 $300 $600 $2,000 Online Budget Total Audience 10 20 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget 10 (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.)
A linear programming computer package is needed. 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 Radio Audience per advertisement Cost per advertisement Online Maximum media usage Television 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 $20,500, how many commercial messages should be run on each medium to maximize total audience contact? Radio Budget Television Radio Online 200,000 36,000 80,000 $300 $600 $2,000 Online Budget Total Audience 10 20 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget 10 (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.)
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
Related questions
Question
![A linear programming computer package is needed.
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
Radio
Audience per advertisement
Online
Cost per advertisement
Maximum media usage
Television
Radio Budget
Television
Online Budget
Total Audience
200,000 36,000 80,000
$2,000
Radio Online
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 $20,500, how many commercial messages should be run on each medium to maximize total audience contact?
$300
20
$600
What is the allocation of the budget among the three media, and what is the total audience reached?
Television Budget
10
(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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc5c11ad-70e2-4305-b415-c385d717f33a%2F5bd56194-6558-4380-9035-8e6f53e6e2dc%2F5xqases_processed.png&w=3840&q=75)
Transcribed Image Text:A linear programming computer package is needed.
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
Radio
Audience per advertisement
Online
Cost per advertisement
Maximum media usage
Television
Radio Budget
Television
Online Budget
Total Audience
200,000 36,000 80,000
$2,000
Radio Online
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 $20,500, how many commercial messages should be run on each medium to maximize total audience contact?
$300
20
$600
What is the allocation of the budget among the three media, and what is the total audience reached?
Television Budget
10
(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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