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Given the following Linear Programming problem and the final tableau for its Simpiex solution: 2. Maximize: P 30x1 + 80x2 Subject to: xi< 300 x2<150 X1 + x2 < 250 X1, x2 20 Final Simpiex Tableau BV S1 S2 S3 RHS X1 X2 S1 1 1 -1 200 X2 0. 1 1 150 X1 1 -1 1 100 0. 0. 0. 50 30 1 15,000 POO0

Given the following Linear Programming problem and the final tableau for its Simpiex solution: 2. Maximize: P 30x1 + 80x2 Subject to: xi< 300 x2<150 X1 + x2 < 250 X1, x2 20 Final Simpiex Tableau BV S1 S2 S3 RHS X1 X2 S1 1 1 -1 200 X2 0. 1 1 150 X1 1 -1 1 100 0. 0. 0. 50 30 1 15,000 POO0

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...
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Chapter 4: Duality and Sensitivity Analysis Score: Name: Date: Section Exercise 4.4 2. Maximize: P = 30x1 + 80x2 %3D Subject to: X1 < 300 x2 <150 xi + x2 <250 X1, x2 2 0 Final Simpiex Tableau BV S1 Sz S3 P RHS X1 X2 S1 0. 0. 1 1 -1 200 X2 1 1 150 X1 1 0. 0. -1 1 100 0. 0. 0. 50 30 1 15,000 Determine the range of optimality for each of the variables in the objective function. Solution: Computation for C: Computation for C2: Page 128
Transcribed Image Text:Chapter 4: Duality and Sensitivity Analysis Score: Name: Date: Section Exercise 4.4 2. Maximize: P = 30x1 + 80x2 %3D Subject to: X1 < 300 x2 <150 xi + x2 <250 X1, x2 2 0 Final Simpiex Tableau BV S1 Sz S3 P RHS X1 X2 S1 0. 0. 1 1 -1 200 X2 1 1 150 X1 1 0. 0. -1 1 100 0. 0. 0. 50 30 1 15,000 Determine the range of optimality for each of the variables in the objective function. Solution: Computation for C: Computation for C2: Page 128
Name: Date: Score: Section Exercise 4.2A Solve the primal problem using duality and determine the primal and dual solution. 1. Maximize: P 8x1 + 6x2 Subject to: %3D Minimize: C = 2x23 2x1 +x254 Subject to: 4xn S8 x1, x2 20 Solution: Tableau 1 BV yi y2 ya S1 S2 RHS P Tableau 2 BV y1 y2 ys S1 S2 RHS Tableau 3 BV y2 y3 Si S2 P RHS yi Si = Dual Solution: yı = %3D S2 = Primal Solution: x1D Page 119 Chapter 4: Duality and Sensitivity Analysis
Transcribed Image Text:Name: Date: Score: Section Exercise 4.2A Solve the primal problem using duality and determine the primal and dual solution. 1. Maximize: P 8x1 + 6x2 Subject to: %3D Minimize: C = 2x23 2x1 +x254 Subject to: 4xn S8 x1, x2 20 Solution: Tableau 1 BV yi y2 ya S1 S2 RHS P Tableau 2 BV y1 y2 ys S1 S2 RHS Tableau 3 BV y2 y3 Si S2 P RHS yi Si = Dual Solution: yı = %3D S2 = Primal Solution: x1D Page 119 Chapter 4: Duality and Sensitivity Analysis
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