A furniture company makes bar stools, tables, and chairs
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A furniture company makes bar stools, tables, and chairs

Transcribed Image Text:HW16: Problem 1
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t) A furniture company makes bar stools, tables, and chairs. Each bar stool requires 1 hour of labor. 8 feet of wood, and 0.2 gallons of stain. Each
chair requires 4 hours of labor, 16 feet of wood, and 0.4 gallons of stain. Each table requires 2 hours of labor, 32 feet of wood, and 0.5 gallons of stain.
Each week, the company has 700 hours of labor, 3360 feet of wood, and 60 gallons of stain. The company makes $10 in profit per bar stool, $25 in profit
per chair, and $35 in profit per table. In order to maximize their profit, the furniture company should make
bar stools per week,
This strategy will leave
chairs per week,
What is the maximal profit?
and
tables per week.
unused hours of labor per week,
unused feet of wood per week,
gallons of stain per week
SUGGESTION: Let x denote number of bar stools, y denote the number of chairs, and z denote the number of tables. Write down a system of
inequalities. Introduce slack variables and build a simplex tableau. Then use the simplex algorithm to determine the optimal solution, along with the
maximal profit and the amounts of the unused resources.
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