Consider the following linear programming model: maximize Z = 3x1 + 2x2 subject to : x1 +x2 ≤ 1 x1 + x2 ≥ 2 x1,x2 ≥ 0 a) Write this model in a standard (augmented) form. (i.e. Introduce slack/surplus, artificial etc.) b) Constract the initial simplex tableau and carry on your calculations to solve this model using the simplex method. Interpret your result.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 49P: If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60...
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Consider the following linear programming model:

maximize Z = 3x1 + 2x2

subject to :

x1 +x2 ≤ 1

x1 + x2 ≥ 2

x1,x2 ≥ 0


a) Write this model in a standard (augmented) form. (i.e. Introduce slack/surplus, artificial etc.)
b) Constract the initial simplex tableau and carry on your calculations to solve this model using the simplex method. Interpret your result.

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Cengage,