A department store chain has up to $20,000 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. B. There is no way to maximize the number of potential customers.
A department store chain has up to $20,000 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. B. There is no way to maximize the number of potential customers.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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Question
A department store chain has up to
$20,000
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.
Transcribed Image Text:A department store chain has up to $20,000 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.
B. There is no way to maximize the number of potential customers.
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