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The following is a L.P.P: Max Z- 5X1 + 7X2 + 6X3 (Hundreds of dollars $) s.t: 3X1 4X2+ 2X3 <- 90 [+] X1+ 2X2 + X3 <= 48.2 X1 + 3X2 + X3 <= 30 X1,X2.X3>-0

The following is a L.P.P: Max Z- 5X1 + 7X2 + 6X3 (Hundreds of dollars $) s.t: 3X1 4X2+ 2X3 <- 90 [+] X1+ 2X2 + X3 <= 48.2 X1 + 3X2 + X3 <= 30 X1,X2.X3>-0

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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The following is a L.P.P: Max Z- 5X1+7X2+ 6X3 (Hundreds of dollars $) s.t: 3X1+ 4X2 + 2X3 <= 90 X1+ 2X2 +X3 <= 48.2 X1 + 3X2 + X3 <= 30 X1,X2,X3>-0 (production capacity; hours) (warehouse capacity: hundreds of sq. ft.) (demand for 6 oz. glasses: hundreds of cases) The optimal solution to the model as follows: Basis Св 5X1 7X2 S1 6X3 0.5 -1 S2 S3 RHS X2 S1 X1 1. -0.5 10 1. -3 10 1. -1 10 7. 1.6 -1.5 5n 8.5 120 C-Z 01 -2.5 -2 What effect on the optimal solution (value of Z) ,if we change b2 from 48.2 to 57.1 ?
Transcribed Image Text:The following is a L.P.P: Max Z- 5X1+7X2+ 6X3 (Hundreds of dollars $) s.t: 3X1+ 4X2 + 2X3 <= 90 X1+ 2X2 +X3 <= 48.2 X1 + 3X2 + X3 <= 30 X1,X2,X3>-0 (production capacity; hours) (warehouse capacity: hundreds of sq. ft.) (demand for 6 oz. glasses: hundreds of cases) The optimal solution to the model as follows: Basis Св 5X1 7X2 S1 6X3 0.5 -1 S2 S3 RHS X2 S1 X1 1. -0.5 10 1. -3 10 1. -1 10 7. 1.6 -1.5 5n 8.5 120 C-Z 01 -2.5 -2 What effect on the optimal solution (value of Z) ,if we change b2 from 48.2 to 57.1 ?
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