Chapter 5.5, Problem 35E

Many of Exercises 29-40 are similar or identical to ones in preceding exercise sets. Use duality to answer them.

Politics The political pollster Canter is preparing for a national election. It would like to poll at least 1.500 Democrats and 1,500 Republicans. Each mailing to the East Coast gets responses from 100 Democrat and 50 Republican. Each mailing to the Midwest gets responses from 100 Democrats and 100 Republican. 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? What will it cost? What are the shadow costs of a Democratic response and of a Republican response?