# Linear programming is a method for finding the optimal (best possible) solution that meets all the conditions for a problem such as the following. A factory can have no more than 200 workers on a shift, but must have at

Linear programming is a method for finding the optimal (best possible) solution that meets all the conditions for a problem such as the following.

A factory can have no more than 200 workers on a shift, but must have at least 100 and must manufacture at least 3000 units at minimum cost. How many workers should be on a shift in order to produce the required units at minimal cost?

Let x represent the number of workers and y represent the number of units manufactured.

Of the values of x and y found in Exercise 58, which ones give the least value when substituted in the cost equation from Exercise 57?

Data from in Exercise 57

The cost per worker is \$50 per day and the cost to manufacture 1 unit is \$100. Write an equation in x, y, and C representing the total daily cost C.

Data from in Exercise 58

Find values of x and y for several points in or on the boundary of the shaded region. Include any “corner points,” where C is maximized or minimized.

## This problem has been solved!

Related Book For ## Intermediate Algebra

ISBN: 9780134895987

13th Edition

Authors: Margaret Lial, John Hornsby, Terry McGinnis

Question Details
Chapter # 2
Section: EXERCISES 2.4
Problem: 59
Posted Date: June 07, 2023 01:04:54