Business, 24.03.2021 18:50 marbo1

Given the following linear programming model, answer the questions that follow. You are given the result of a computer program. The results are Maximize 12 X1 + 18 X2 + 15 X3
Subject to:
Machine Constraint: 3 X1 + 4 X2 + 3 X3 < 160
Labor Constraint: 6 X1 + 10 X2 + 4 X3 < 288
Materials Constraint: 2 X1 + 2 X2 + 7 X3 < 200
Product 2 Constraint: X1 < 16
1. What is the optimal solution?
2. What is the profit?
3. If the profit of Product 3 was changed to $15.50 and the profit of Product 1 was changed $11.90, would that change the solution? Provide proof.
4. If the number of minutes of Machine time was decreased to 157 minutes and the amount of materials were decreased to 160 pounds, would this change the solution? Provide proof.
5.The Dual Price for Constraint 2 (Labor) is 1.548. In terms of this problem, what does that mean?

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