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 Television Radio Online Audience per advertisement 150,000   17,000   35,000   Cost per advertisement $1,500   $250   $500   Maximum media usage 12   18   11     To ensure a balanced use of advertising media, radio advertisements must not exceed 45% 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 $24,000, how many commercial messages should be run on each medium to maximize total audience contact? If your answer is zero enter “0”.   Advertisement Alternatives No of commercial messages Television   Radio   Online         What is the allocation of the budget among the three media?   Advertisement Alternatives Budget Allocation Television $ Radio $ Online $       What is the total audience reached?         (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.   Increase in audience coverage of approximately

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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 Television Radio Online
Audience per advertisement 150,000   17,000   35,000  
Cost per advertisement $1,500   $250   $500  
Maximum media usage 12   18   11  

 

To ensure a balanced use of advertising media, radio advertisements must not exceed 45% 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 $24,000, how many commercial messages should be run on each medium to maximize total audience contact? If your answer is zero enter “0”.
 

Advertisement Alternatives
No of commercial
messages
Television  
Radio  
Online  
   
  What is the allocation of the budget among the three media?
 
Advertisement Alternatives Budget Allocation
Television $
Radio $
Online $
   
  What is the total audience reached?
   
   
(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.
  Increase in audience coverage of approximately 

 

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