A political candidate is planning his media budget for an upcoming election. He has $90,500 to spend. His political consultants have provided him with the following estimates of additional votes as a result of the advertising effort:             -for every small sign placed by the roadside, he will garner 20 additional votes.             -for every large sign placed by the roadside, he will garner 30 additional votes.             -for every thousand bumper stickers placed on cars, he will garner 15 additional votes.             -for every hundred personal mailings to voters, he will garner 40 additional votes.             -for every radio ad heard, he will garner 485 additional votes. The costs for each of the advertising devices, along with the practical minimum and maximum that should be planned for each, are shown on the following table. How should the candidate plan to spend his campaign money? Advertising Medium Cost Minimum Maximum Bumper stickers (thousands) $30            50 200 Personal mailings (hundreds) $85 500 900 Radio Ads (per ad) $1,000 5 10 Small road signs   $35 100 600 Large road signs   $60 50 400

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 43P
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A political candidate is planning his media budget for an upcoming election. He has $90,500 to spend. His political consultants have provided him with the following estimates of additional votes as a result of the advertising effort:

            -for every small sign placed by the roadside, he will garner 20 additional votes.

            -for every large sign placed by the roadside, he will garner 30 additional votes.

            -for every thousand bumper stickers placed on cars, he will garner 15 additional votes.

            -for every hundred personal mailings to voters, he will garner 40 additional votes.

            -for every radio ad heard, he will garner 485 additional votes.

The costs for each of the advertising devices, along with the practical minimum and maximum that should be planned for each, are shown on the following table. How should the candidate plan to spend his campaign money?

Advertising Medium

Cost

Minimum

Maximum

Bumper stickers (thousands)

$30           

50

200

Personal mailings (hundreds)

$85

500

900

Radio Ads

(per ad)

$1,000

5

10

Small road signs

 

$35

100

600

Large road signs

 

$60

50

400

 

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9781337406659
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Cengage,