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5. Consider the following mixed-integer linear program: Max 2x₁ + 3x₂ s.t. 4x₁ + 9x₂ = 36 7x₂ + 5x₂ = 35 x₁, x₂ ≥ 0 and x, integer a. Graph the constraints for this problem. Indicate on your graph all feasible mixed- integer solutions. b. Find the optimal solution to the LP Relaxation. Round the value of x, down to find a feasible mixed-integer solution. Is this solution optimal? Why or why not? C. Find the optimal solution for the mixed-integer linear program.

5. Consider the following mixed-integer linear program: Max 2x₁ + 3x₂ s.t. 4x₁ + 9x₂ = 36 7x₂ + 5x₂ = 35 x₁, x₂ ≥ 0 and x, integer a. Graph the constraints for this problem. Indicate on your graph all feasible mixed- integer solutions. b. Find the optimal solution to the LP Relaxation. Round the value of x, down to find a feasible mixed-integer solution. Is this solution optimal? Why or why not? C. Find the optimal solution for the mixed-integer linear program.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Consider the following mixed-integer linear program: Max 2x₁ + 3x₂ s.t. 4x₁ + 9x₂ = 36 7x₂ + 5x₂ = 35 x₁, x₂ ≥ 0 and x, integer a. Graph the constraints for this problem. Indicate on your graph all feasible mixed- integer solutions. b. Find the optimal solution to the LP Relaxation. Round the value of x, down to find a feasible mixed-integer solution. Is this solution optimal? Why or why not? Find the optimal solution for the mixed-integer linear program. c.
Transcribed Image Text:5. Consider the following mixed-integer linear program: Max 2x₁ + 3x₂ s.t. 4x₁ + 9x₂ = 36 7x₂ + 5x₂ = 35 x₁, x₂ ≥ 0 and x, integer a. Graph the constraints for this problem. Indicate on your graph all feasible mixed- integer solutions. b. Find the optimal solution to the LP Relaxation. Round the value of x, down to find a feasible mixed-integer solution. Is this solution optimal? Why or why not? Find the optimal solution for the mixed-integer linear program. c.
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