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Name: A department store chain has up to $22,000 to spend on television adve
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Description: A department store chain has up to $22,000 to spend on television advertising for a sale. All ads will be placed with one television station, where a 30-second ad costs $1,000 on daytime TV and is viewed by 14,000 potential customers, $2,000 on p

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A department store chain has up to $22,000 to spend on television advertising for a sale. All ads will be placed with one television station, where a 30-second ad costs $1,000 on daytime TV and is viewed by 14,000 potential customers, $2,000 on prime-time TV and is viewed by24,000 potential customers, and $1,500 on late-night TV and is viewed by 18,000 potential customers. The television station will not accept a total of more than 15 ads in all three time periods.

How many ads should be placed in each time period in order to maximize the number of potential customers who will see the ads? How many potential customers will see the ads? (Ignore repeated viewings of the ad by the same potential customer.) Include an interpretation of any nonzero slack variables in the optimal solution.

Select the correct choice below and fill in any answer boxes present in your choice.

A department store chain has up to $22,000 to spend on television advertising for a sale. All ads will be placed with one television station, where a 30-second ad costs $1,000 on daytime TV and is viewed by 14,000 potential customers, $2,000 on prime-time TV and is viewed by 24,000
potential customers, and $1,500 on late-night TV and is viewed by 18,000 potential customers. The television station will not accept a total of more than 15 ads in all three time periods.
How many ads should be placed in each time period in order to maximize the number of potential customers who will see the ads? How many potential customers will see the ads? (Ignore repeated viewings of the ad by the same potential customer.) Include an interpretation of any nonzero
slack variables in the optimal solution.
Select the correct choice below and fill in any answer boxes present in your choice.
O A. The maximum number of potential customers who see the ads is
people when
daytime ads.
prime-time ads, and
late-night ads are placed.
O B. There is no way to maximize the number of potential customers.
Include an interpretation of any nonzero slack variables in the optimal solution.
O A. In this case, s, = 4,000 dollars not used and s, = 10 ads not used.
O B. In this case, s, = 10 dollars not used.
O C. In this case, s, = 4,000 ads not used.
O D. There are no nonzero slack variables in the optimal solution.

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