Chapter 4.1, Problem 31E

Set up Exercises 27–for solution by the simplex method. First express the linear constraints and objective function, then add slack variables to convert each constraint into a linear equation, and then set up the initial simplex tableau. The solutions of some of these problems will be completed in the exercises for the next section.

Advertising The Fancy Fashions, an independent, local boutique, has $8000 available each month for advertising. Newspaper ads cost $400 each, and no more than 30 can run per month. Internet banner ads cost $20 each, and no more than 60 can run per month. TV ads cost $2000 each, with a maximum of 10 available each month. Approximately 4000 women will see each newspaper ad, 3000 will see each Internet banner, and 10,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize its ad exposure?