4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case: Model Machine 1 Machine 2 Machine 3 Profit Margin Regular 3 2 3 $20 Deluxe 2 4 4 40 Heavy 4 4 5 70 The company has 56 hours available for machine 1, 80 hours for machine 2 and 120 hours for machine 3. Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case:
Model Machine 1 Machine 2 Machine 3 Profit Margin
Regular 3 2 3 $20
Deluxe 2 4 4 40
Heavy 4 4 5 70

The company has 56 hours available for machine 1, 80 hours for machine 2 and 120 hours for machine 3. Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.

4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and
heavy. All of the types of brushes must pass through 3 machines. The different
types of brushes have the following contributions to profit per case and require the
following times (in hours) at each machine per case:
Machine 1
Profit Margin
$20
Model
Machine 2
Machine 3
Regular
3
2
3
Deluxe
2
4
4
40
Heavy
4
4
70
The company has 56 hours available for machine 1, 80 hours for machine 2 and 120 hours
for machine 3. Assuming that the company is interested in maximizing the total profit
contribution, write the linear programming model for this problem.
Transcribed Image Text:4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case: Machine 1 Profit Margin $20 Model Machine 2 Machine 3 Regular 3 2 3 Deluxe 2 4 4 40 Heavy 4 4 70 The company has 56 hours available for machine 1, 80 hours for machine 2 and 120 hours for machine 3. Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.
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