1. we are making 3 products (X1, X2, and X3). The products require assembly, machine process 1, machine process 2, and painting. The following LP was developed for the problem. Max Z= 15X, + 5X, + 25X Profit $ ST 1.5X, + X2 + 2Xg <= 450 Assembly time X + 4X, < 325 Machine process 1 (hours) 2.2X, + X2 < 325 Machine process 2 (hours) X + .8X, + 2X, <= 275 Painting Time All X, >= 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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1. we are making 3 products (X1, X2, and X3). The products require assembly, machine process 1, machine
process 2, and painting. The following LP was developed for the problem.
Max Z= 15X, + 5X, + 25X Profit $
ST
1.5X, + X2 + 2Xg <= 450 Assembly time
X + 4X, < 325 Machine process 1 (hours)
2.2X, + X2 < 325 Machine process 2 (hours)
X + .8X, + 2X, <= 275 Painting Time
All X, >= 0
Transcribed Image Text:1. we are making 3 products (X1, X2, and X3). The products require assembly, machine process 1, machine process 2, and painting. The following LP was developed for the problem. Max Z= 15X, + 5X, + 25X Profit $ ST 1.5X, + X2 + 2Xg <= 450 Assembly time X + 4X, < 325 Machine process 1 (hours) 2.2X, + X2 < 325 Machine process 2 (hours) X + .8X, + 2X, <= 275 Painting Time All X, >= 0
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