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1. Given the following LP problem: Max 2x1 + 8x2 Мax s.t. 3x1 + 9x2 < 45 2x1 + læ2 > 12 X1, X2 > 0 a. Write the standard form in the M-Method. b. Solve the LP problem using the M-Method (Let M= 100)

1. Given the following LP problem: Max 2x1 + 8x2 Мax s.t. 3x1 + 9x2 < 45 2x1 + læ2 > 12 X1, X2 > 0 a. Write the standard form in the M-Method. b. Solve the LP problem using the M-Method (Let M= 100)

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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PROBLEM SET FOR MODULE 3: ARTIFICIAL VARIABLE TECHNIQUE 1. Given the following LP problem: Max 2x1 + 8x2 s.t. 3x1 + 9x2 < 45 2x1 + lx2 > 12 X1, x2 > 0 a. Write the standard form in the M-Method. b. Solve the LP problem using the M-Method (Let M= 100) 2. a. Write the standard form in the Two-Phase-Method. b. Solve the LP problem using the Two-Phase-Method (Let M= 100). Note: The Objective function in this problem set is a Maximization function. Hence the artificial variables will have a negative sign when added to the objective function. The entering variables will be the most negative coefficient in the objective function row.
Transcribed Image Text:PROBLEM SET FOR MODULE 3: ARTIFICIAL VARIABLE TECHNIQUE 1. Given the following LP problem: Max 2x1 + 8x2 s.t. 3x1 + 9x2 < 45 2x1 + lx2 > 12 X1, x2 > 0 a. Write the standard form in the M-Method. b. Solve the LP problem using the M-Method (Let M= 100) 2. a. Write the standard form in the Two-Phase-Method. b. Solve the LP problem using the Two-Phase-Method (Let M= 100). Note: The Objective function in this problem set is a Maximization function. Hence the artificial variables will have a negative sign when added to the objective function. The entering variables will be the most negative coefficient in the objective function row.
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