a) and b). A furniture maker makes three different style of wardrobes: x,, x, and x,. The manufactureof each style of wardrobe requires a certain amount of time in three types of skilled labor:cutting, assembling and painting. Model x, requires 1 hour for the cutting of component parts,2 hours for assembling and 4 hours for painting. Model x, requires 2 hours for cutting, 4hours for assembling and painting, respectively. While model x, needs 3, 7 and 5 hours forcutting, assembling and painting accordingly. Currently, 200 cutting hours of componentparts, 300 assembling hours and 150 painting hours are available. Determine the product mixthat will maximize the furniture maker's revenue if a model x, sells for $20, a painted modelx, sells for $30, an unpainted model x, sells for $20 and a model x, sells for $50.(a) Formulate a linear programming model for this problem.(b) Find the optimal solution by using simplex algorithm.

Given: A furniture maker makes three different styles of wardrobes: x1, x2, and x3. The manufacture…

Answered: A furniture maker makes three different…

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 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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A furniture maker makes three different style of wardrobes: x,, x, and x, . The manufacture of each style of wardrobe requires a certain amount of time in three types of skilled labor: cutting, assembling and painting. Model x, requires 1 hour for the cutting of component parts, 2 hours for assembling and 4 hours for painting. Model x, requires 2 hours for cutting, 4 hours for assembling and painting, respectively. While model x, needs 3, 7 and 5 hours for cutting, assembling and painting accordingly. Currently, 200 cutting hours of component parts, 300 assembling hours and 150 painting hours are available. Determine the product mix that will maximize the furniture maker's revenue if a model x, sells for $20, a painted model x, sells for $30, an unpainted model x, sells for $20 and a model x, sells for $50. (a) Formulate a linear programming model for this problem. (b) Find the optimal solution by using simplex algorithm.
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