For the simplex tableau, complete parts (a) through (d). a. Determine which variable should be brought into the solution. b. Compute the next tableau. c. Identify the basic feasible solution corresponding to the tableau in part (b). d. Determine if the answer in part (c) is optimal. M X₁ 2 2 -6 X2 4 1 -4 x3 1 0 0 X4 0 16 1 이 14 0 1 0

For the simplex tableau, complete parts (a) through (d). a. Determine which variable should be brought into the solution. b. Compute the next tableau. c. Identify the basic feasible solution corresponding to the tableau in part (b). d. Determine if the answer in part (c) is optimal. M X₁ 2 2 -6 X2 4 1 -4 x3 1 0 0 X4 0 16 1 이 14 0 1 0

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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Question

For the simplex tableau, complete parts (a) through (d).
a. Determine which variable should be brought into the solution.
b. Compute the next tableau.
c. Identify the basic feasible solution corresponding to the tableau in part (b).
d. Determine if the answer in part (c) is optimal.
X₁
2
2
- 6
X2 X3
4
1
1
0
- 4
0
X4
0
1
0
M
ol
0
1
16
14
0

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12
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What is the corresponding system of equations? Restate the problem in terms of equations by adding slack variables or subtracting surplus variables as necessary. Then write the initial simplex tableau. X1 + X2 + X3 S1 = 69 Маximize Z-2x1 + 3x2 — 4xз X1 + X2 + X3 S2 = 48 X1 + X2 X1 20, x2 2 0, X3 0, s, 20, s2 2 0, s3 20 subject to X1 +X2 + X3 <69 + S3 = 60 X1 +X2 + X3 248 X1 +X2 < 60 Write the initial simplex tableau, omitting the z column. Fill in the missing values. X1 20, x2 2 0, X3 20 X1 X2 X3 S1 S2 $3 1 1 1 O 69 1 1 1 0 48 1 1 0| 60 4
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