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Write the following linear program into standard form, then write the linear pro to the first phase simplex: min x1,x2,X3ER 2x1 + x2 + x3 X1 – x2 + 2x3 x1 + x2 – x3 6 subject to -5 X1, x2, X3 V V A

Write the following linear program into standard form, then write the linear pro to the first phase simplex: min x1,x2,X3ER 2x1 + x2 + x3 X1 – x2 + 2x3 x1 + x2 – x3 6 subject to -5 X1, x2, X3 V V A

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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1. Write the following linear program into standard form, then write the linear program corresponding to the first phase simplex: min x1,X2 ,X3ER 2x1 + x2 + X3 X1 – x2 + 2x3 < (1) subject to x1 + x2 – 3 -5 X1, X2, X3 T 2. Determine whether x = (0 2 0 1 1)ʻ is a vertex of max x1 + 2x2 – X4 + x5 X1,X2,X3,x4,X5ER xi + x2 -x2 + 3x3 + x4 -x2 + x3 – x4 + 4x5 (2) -1 subject to 1 X1; X2; X3, X4, X5 3. Determine whether x= (0 3 0 9 2)' is a solution to max 3x2 + 2x5 x1,x2,x3,x4,X5ER X1 + x2 – x5 X2 + x3 + x5 -2x2 + x4 + x5 (3) 5 subject to 5 X1, X2, X3, X4, X5 || || || A VI A
Transcribed Image Text:1. Write the following linear program into standard form, then write the linear program corresponding to the first phase simplex: min x1,X2 ,X3ER 2x1 + x2 + X3 X1 – x2 + 2x3 < (1) subject to x1 + x2 – 3 -5 X1, X2, X3 T 2. Determine whether x = (0 2 0 1 1)ʻ is a vertex of max x1 + 2x2 – X4 + x5 X1,X2,X3,x4,X5ER xi + x2 -x2 + 3x3 + x4 -x2 + x3 – x4 + 4x5 (2) -1 subject to 1 X1; X2; X3, X4, X5 3. Determine whether x= (0 3 0 9 2)' is a solution to max 3x2 + 2x5 x1,x2,x3,x4,X5ER X1 + x2 – x5 X2 + x3 + x5 -2x2 + x4 + x5 (3) 5 subject to 5 X1, X2, X3, X4, X5 || || || A VI A
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