Question

Set up the initial tableau for the following problem: Maximize z = 3x_1 + 6x_2 + 9x_3 + 2x_4, subject to 2x_1 + 7x_2 + 3x_3 + 5x_4 ? 88 x_1 + 4x_2 + x_3 + 9x_4 ? 67 2x_1 + 3x_2 + 2x_3 + 6x_4 = 56 x_1 ? 0, x_2 ? 0, x_3 ? 0, x_4 ? 0. [ x_1 x_2 x_3 x_4 s_1 s_2 s_3 s_4 z 7 -1 2 -6 -6 ]

          Set up the initial tableau for the following problem:

Maximize z = 3x_1 + 6x_2 + 9x_3 + 2x_4, subject to
2x_1 + 7x_2 + 3x_3 + 5x_4 ? 88
x_1 + 4x_2 + x_3 + 9x_4 ? 67
2x_1 + 3x_2 + 2x_3 + 6x_4 = 56
x_1 ? 0, x_2 ? 0, x_3 ? 0, x_4 ? 0.

[
  x_1  x_2  x_3  x_4  s_1  s_2  s_3  s_4  z
       7
            -1
  2
                 -6
      -6
]

Set up the initial tableau for the following problem:

Maximize z = 3x1 + 6x2 + 9x3 + 2x4, subject to
2x1 + 7x2 + 3x3 + 5x4 ? 88
x1 + 4x2 + x3 + 9x4 ? 67
2x1 + 3x2 + 2x3 + 6x4 = 56
x1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0.

[
x1 x2 x3 x4 s1 s2 s3 s4 z
7
-1
2
-6
-6
]

Added by Cassandra C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/07/2023

Step 1

The problem is to maximize: z = 3x_1 + 6x_2 + 9x_3 + 2x_4 subject to: 2x_1 + x_2 + 3x_3 + 5x_4 ≤ 88 4x_2 + 9x_4 ≤ 67 2x_1 + 3x_2 + 6x_4 ≤ 56 x_1, x_2, x_3, x_4 ≥ 0 Now, we introduce slack variables to convert the inequalities into equalities: 2x_1 + x_2 + Show more…

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Set up the initial tableau for the following problem: Maximize z = 3x1 + 6x2 + 9x3 + 2x4, subject to 2x1 + 7x2 + 3x3 + 5x4 ≤ 88 x1 + 4x2 + x3 + 9x4 ≥ 67 2x1 + 3x2 + 2x3 + 6x4 = 56 x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, x4 ≥ 0.