* SOLVING LINEAR PROGRAMMING PROBLEMS GRAPHICALLY:   A furniture company sells two types of patio chairs. The company makes a profit of $176 dollars on the chair with arms(Style A) and a profit of $92 dollars on the chair without arms(Style B). The armed chair requires 2 hours to cut the materials, 4 hours to finish the chair, and 1 hour to package. The armless chair requires 1 hour to cut materials, 3 hours to finish the chair, and 1 hour to package. The company has a maximum of 200 labor hours available for cutting materials, a maximum of 480 hours of labor available in the finishing department and a maximum of 150 labor hours available in the packaging department. How many of each style of chair should be produced and sold in order for the company to maximize its profit?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 21E: Making furniture Two woodworkers, Chase and Devin, get 100 for making a table and 80 for making a...
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* SOLVING LINEAR PROGRAMMING PROBLEMS GRAPHICALLY:

 

A furniture company sells two types of patio chairs. The company makes a profit of $176 dollars on the chair with arms(Style A) and a profit of $92 dollars on the chair without arms(Style B). The armed chair requires 2 hours to cut the materials, 4 hours to finish the chair, and 1 hour to package. The armless chair requires 1 hour to cut materials, 3 hours to finish the chair, and 1 hour to package. The company has a maximum of 200 labor hours available for cutting materials, a maximum of 480 hours of labor available in the finishing department and a maximum of 150 labor hours available in the packaging department. How many of each style of chair should be produced and sold in order for the company to maximize its profit?

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