Chapter 4.2, Problem 24E

Set up and solve Exercises 23–29 by the simplex method.

Profit The Muro Manufacturing Company makes two kinds of plasma screen television sets. It produces the Flexscan set that sells for $350 profit and the Panoramic I that sells for $500 profit. On the assembly line, the Flexsean requires 5 hours, and the Panoramic I takes 7 hours. The cabinet shop spends 1 hour on the cabinet for the Flexscan and 2 hours on the cabinet for the Panoramic I Both sets require 4 hours for testing and packing. On a particular production run, the Muro Company has available 3600 work-hours on the assembly line. 900 work-hours in the cabinet shop, and 2600 work-hours in the testing and packing department. (See Exercise 10 in Section 3.3.)

(a) How many sets of each type should it produce lo make a maximum profit? What is the maximum profit?

(b) Find the values of any nonzero slack variables and describe what they tell you about any unused time.