Chapter 6.4, Problem 27E

To determine

To calculate: The number of mailings should the Canter send to each area of the country to get the responses it needs at least possible cost and the minimum cost where the Canter would like to poll at least $1500$ democrats and $1500$ republicans, each mailing to East coast gets responses from $100$ democrats and $50$ republicans, each mailing to Midwest gets responses from $100$ democrats and $100$ republicans and each mailing to West coast gets responses from $50$ democrats and $100$ republicans and mailings to East coast cost $\$40$ each to produce and mail, mailings to Midwest cost $\$60$ each to produce and mail and mailings to West coast cost $\$50$ each to produce and mail.