# Linear programming is a method for finding the optimal (best possible) solution that meets all the conditions for a problem

## Question:

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.

Graph the inequalities from Exercise 55 using the axes below, and shade the intersection.

**Data from in Exercise 55**

Write three inequalities expressing the problem conditions.

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## Step by Step Answer:

**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: 56

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