Sometimes we wish to analyze the effect of changing a parameter over a wide range of values. Performing changes over a wide range is known as parametric analysis. This can be accomplished by using the sensitivity analysis to establish the range above and below the current value, and then changing the current value to a number outside the current range to find a new range for this parameter. For example, consider the following model: minimize 5X1 + 8X2 subject to (1) 2X1 + 5X2 ≥ 910 (2) 4X1 + 3X2 ≥ 1092 (3) X1 + 9X2 ≥ 819 X1 , X2 ≥ 0 (a) Solve this model graphically.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 90P
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Sometimes we wish to analyze the effect of changing a parameter over a wide range of values. Performing changes over a wide range is known as parametric analysis. This can be accomplished by using the sensitivity analysis to establish the range above and below the current value, and then changing the current value to a number outside the current range to find a new range for this parameter. For example, consider the following model: minimize 5X1 + 8X2 subject to (1) 2X1 + 5X2 ≥ 910 (2) 4X1 + 3X2 ≥ 1092 (3) X1 + 9X2 ≥ 819 X1 , X2 ≥ 0 (a) Solve this model graphically. (b) From the graph, perform a sensitivity analysis on b2, the rhs
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,