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:
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.
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