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Consider the primal linear programming problem below. Maximise x1 + x2 +5/4 x3, subject to 8x1 + 3x2 + 6x3 < 12, 6x1 + 16x2 + 12x3 < 20, X1, X2, X3 > 0. a) Construct the dual problem and solve it graphically. b) Determine a solution to the primal problem, stating clearly any results that you use.

Consider the primal linear programming problem below. Maximise x1 + x2 +5/4 x3, subject to 8x1 + 3x2 + 6x3 < 12, 6x1 + 16x2 + 12x3 < 20, X1, X2, X3 > 0. a) Construct the dual problem and solve it graphically. b) Determine a solution to the primal problem, stating clearly any results that you use.

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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Question 1 Consider the primal linear programming problem below. Maximise x1 + x2+5/4 x3, subject to 8x1 + 3x2 + 6x3 < 12, 6x1 + 16x2 + 12.x3 < 20, X1, X2, X3 > 0. a) Construct the dual problem and solve it graphically. b) Determine a solution to the primal problem, stating clearly any results that you use.
Transcribed Image Text:Question 1 Consider the primal linear programming problem below. Maximise x1 + x2+5/4 x3, subject to 8x1 + 3x2 + 6x3 < 12, 6x1 + 16x2 + 12.x3 < 20, X1, X2, X3 > 0. a) Construct the dual problem and solve it graphically. b) Determine a solution to the primal problem, stating clearly any results that you use.
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