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A craft furniture manufacturer maker produces round kitchen tables (X1) and ladder-back chairs (X2) in its workshop from 600 board feet of oak. Each table requires 30 hours of labor and each chair requires 18 hours, and there are 480 hours of labor available. Each table requires 40 board feet and each chair requires 15 board feet. A

A craft furniture manufacturer maker produces round kitchen tables (X1) and ladder-back chairs (X2) in its workshop from 600 board feet of oak. Each table requires 30 hours of labor and each chair requires 18 hours, and there are 480 hours of labor available. Each table requires 40 board feet and each chair requires 15 board feet. A

MATLAB: An Introduction with Applications
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 craft furniture manufacturer maker produces round kitchen tables (X1) and ladder-back chairs (X2) in its workshop from 600 board feet of oak. Each table requires 30 hours of labor and each chair requires 18 hours, and there are 480 hours of labor available. Each table requires 40 board feet and each chair requires 15 board feet. A table provides $575 in profit and each chair provides $120 in profit. In the integer programming model formulation for this problem, if each table requires 4 chairs to go with it, but additional chairs can be made and sold separately, this constraint, in proper form for computer solution, is O X1 + X2 2 4 O 4X1 + X2 < 0 O 4X1 - X2< 0 O X1 + 4X2 2 0
Transcribed Image Text:A craft furniture manufacturer maker produces round kitchen tables (X1) and ladder-back chairs (X2) in its workshop from 600 board feet of oak. Each table requires 30 hours of labor and each chair requires 18 hours, and there are 480 hours of labor available. Each table requires 40 board feet and each chair requires 15 board feet. A table provides $575 in profit and each chair provides $120 in profit. In the integer programming model formulation for this problem, if each table requires 4 chairs to go with it, but additional chairs can be made and sold separately, this constraint, in proper form for computer solution, is O X1 + X2 2 4 O 4X1 + X2 < 0 O 4X1 - X2< 0 O X1 + 4X2 2 0
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