Consider the primal linear programming problem below. Maximise x1 + x2 + 5/4 x3, subject to 8x1 +3x2 +6x3 <12, 6х1 + 16х2 + 12х3 < 20, х1,x2,х3 20. a) Construct the dual problem and solve it graphically. b) Determine a solution to the primal problem, stating clearly any results that you use.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CR: Review Problem Set
Problem 35CR
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Consider the primal linear programming problem
below.
Maximise x1 + x2 + 5/4 x3, subject to
8x1 +3x2 +6x3 <12,
бх1 + 16х2 + 12х3 < 20, х1,x2,х3 20.
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:Consider the primal linear programming problem below. Maximise x1 + x2 + 5/4 x3, subject to 8x1 +3x2 +6x3 <12, бх1 + 16х2 + 12х3 < 20, х1,x2,х3 20. 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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