Consider the following equation: b. Determine the range of optimality for the coefficients of the objective function. Maximize 4x1 + 2x2 + 5x3 Subject to 1x1 + 2x2 + 1x3 s Range of Optimality 25 Variable 1 (x1): 1x1 + 4x2 + 2x3 s 3x1 + 3x2 + 1x3 s 40 30 Variable 2 (x2): X1, X2, x3 2 22 to infinity Variable 3 (x3): a. Determine the range of feasibility for each constraint. 10 to 47.5 20 to 45 Range of Feasibility Constraint 1 2.5 to 15 Constraint 2 22 to infinity -Infinity to 10.6 Constraint 3 10 to 47.5 1.333 to 8 20 to 45 2.5 to 15 -Infinity to 10.6 1.333 to 8
Consider the following equation: b. Determine the range of optimality for the coefficients of the objective function. Maximize 4x1 + 2x2 + 5x3 Subject to 1x1 + 2x2 + 1x3 s Range of Optimality 25 Variable 1 (x1): 1x1 + 4x2 + 2x3 s 3x1 + 3x2 + 1x3 s 40 30 Variable 2 (x2): X1, X2, x3 2 22 to infinity Variable 3 (x3): a. Determine the range of feasibility for each constraint. 10 to 47.5 20 to 45 Range of Feasibility Constraint 1 2.5 to 15 Constraint 2 22 to infinity -Infinity to 10.6 Constraint 3 10 to 47.5 1.333 to 8 20 to 45 2.5 to 15 -Infinity to 10.6 1.333 to 8
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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Transcribed Image Text:Consider the following equation:
b. Determine the range of optimality for the coefficients of the objective function.
Maximize
4x1 + 2x2 + 5x3
Subject to
Range of Optimality
1x1 + 2x2 + 1x3 s
25
1x1 + 4x2 + 2x3 s
Variable 1 (x1):
40
3x1 + 3x2 + 1x3 <
30
Variable 2 (x2):
X1, X2, Хх3 2
22 to infinity
Variable 3 (x3):
a. Determine the range of feasibility for each constraint.
10 to 47.5
20 to 45
Range of Feasibility
Constraint 1
2.5 to 15
Constraint 2
22 to infinity
-Infinity to 10.6
Constraint 3
10 to 47.5
1.333 to 8
20 to 45
2.5 to 15
-Infinity to 10.6
1.333 to 8
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