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Consider the following all-integer linear program. Max 5, + By s.t. 6x₂ + 5x₂ ≤ 35 11x₂ + 4x₂ s 44 1x₂ + 2x₂ ≤ 12 x₁x₂20 and integer X₂ (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. FELL 8 6 (c) Find the optimal integer solution. ] at (x₁, x₂) = X₂ 6 (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.) ] at (x₁, x₂) = ( Using this solution, round down to find a feasible integer solution. | at (x₁, x₂) = ( 2 Is it the same as the solution obtained in part (b) by rounding down? O Ves O No 8 2 4 8 2 8 X₂ @

Consider the following all-integer linear program. Max 5, + By s.t. 6x₂ + 5x₂ ≤ 35 11x₂ + 4x₂ s 44 1x₂ + 2x₂ ≤ 12 x₁x₂20 and integer X₂ (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. FELL 8 6 (c) Find the optimal integer solution. ] at (x₁, x₂) = X₂ 6 (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.) ] at (x₁, x₂) = ( Using this solution, round down to find a feasible integer solution. | at (x₁, x₂) = ( 2 Is it the same as the solution obtained in part (b) by rounding down? O Ves O No 8 2 4 8 2 8 X₂ @

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Consider the following all-integer linear program. SX, nhi Bằng 6x₂ + 5x₂ ≤ 35 11x₂ + 4x₂ ≤ 44 1x + 2x₂ ≤ 12 X₁ X₂20 and integer (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. X₂ Max s.t. 8 6 (c) Find the optimal integer solution. ] at (x₁, x₂) = ( 8 X₂ 8 6 O (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.) | at (x₁, x₂) = | Using this solution, round down to find a feasible integer solution. at (x₁, x₂) = 2 Is it the same as the solution obtained in part (b) by rounding down? O Ves O No X₂ 2 4 8 X₁ 8 6 2 2 4 6 8 X₁ O
Transcribed Image Text:Consider the following all-integer linear program. SX, nhi Bằng 6x₂ + 5x₂ ≤ 35 11x₂ + 4x₂ ≤ 44 1x + 2x₂ ≤ 12 X₁ X₂20 and integer (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. X₂ Max s.t. 8 6 (c) Find the optimal integer solution. ] at (x₁, x₂) = ( 8 X₂ 8 6 O (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.) | at (x₁, x₂) = | Using this solution, round down to find a feasible integer solution. at (x₁, x₂) = 2 Is it the same as the solution obtained in part (b) by rounding down? O Ves O No X₂ 2 4 8 X₁ 8 6 2 2 4 6 8 X₁ O
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