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The political pollster Canter is preparing for a national election. It would like to poll at least 1,400 Democrats and 1,400 Republicans. Each mailing to the East Coast gets responses from 100 Democrats and 50 Republicans. Each mailing to the Midwest gets responses from 100 Democrats and 100 Republicans. Each mailing to the West Coast gets responses from 50 Democrats and 100 Republicans. Mailings to the East Coast cost $40 each to produce and mail, mailings to the Midwest cost $60 each, and mailings to the West Coast cost $50 each. How many mailings should Canter send to each area of the country to get the responses it needs at the least possible cost? (East Coast, Midwest, West Coast) = What is the lowest possible cost? $1 What are the shadow costs of a Democratic response and of a Republican response? per Democrat $ per Republican

The political pollster Canter is preparing for a national election. It would like to poll at least 1,400 Democrats and 1,400 Republicans. Each mailing to the East Coast gets responses from 100 Democrats and 50 Republicans. Each mailing to the Midwest gets responses from 100 Democrats and 100 Republicans. Each mailing to the West Coast gets responses from 50 Democrats and 100 Republicans. Mailings to the East Coast cost $40 each to produce and mail, mailings to the Midwest cost $60 each, and mailings to the West Coast cost $50 each. How many mailings should Canter send to each area of the country to get the responses it needs at the least possible cost? (East Coast, Midwest, West Coast) = What is the lowest possible cost? $1 What are the shadow costs of a Democratic response and of a Republican response? per Democrat $ per Republican

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Politics Use duality to answer the following application. The political pollster Canter is preparing for a national election. It would like to poll at least 1,400 Democrats and 1,400 Republicans. Each mailing to the East Coast gets responses from 100 Democrats and 50 Republicans. Each mailing to the Midwest gets responses from 100 Democrats and 100 Republicans. Each mailing to the West Coast gets responses from 50 Democrats and 100 Republicans. Mailings to the East Coast cost $40 each to produce and mail, mailings to the Midwest cost $60 each, and mailings to the West Coast cost $50 each. How many mailings should Canter send to each area of the country to get the responses it needs at the least possible cost? (East Coast, Midwest, West Coast) What is the lowest possible cost? What are the shadow costs of a Democratic response and of a Republican response? $ per Democrat per Republican
Transcribed Image Text:Politics Use duality to answer the following application. The political pollster Canter is preparing for a national election. It would like to poll at least 1,400 Democrats and 1,400 Republicans. Each mailing to the East Coast gets responses from 100 Democrats and 50 Republicans. Each mailing to the Midwest gets responses from 100 Democrats and 100 Republicans. Each mailing to the West Coast gets responses from 50 Democrats and 100 Republicans. Mailings to the East Coast cost $40 each to produce and mail, mailings to the Midwest cost $60 each, and mailings to the West Coast cost $50 each. How many mailings should Canter send to each area of the country to get the responses it needs at the least possible cost? (East Coast, Midwest, West Coast) What is the lowest possible cost? What are the shadow costs of a Democratic response and of a Republican response? $ per Democrat per Republican
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