Use Dual Simplex Method to solve the following problem: \(\begin{array}…

2018

Use Dual Simplex Method to solve the following problem:

\(\begin{array} \text{Maximize} & z=-2x_1-3x_2 \\ \text{subject to:} & \\ & x_1+x_2 \geq 2 \\ & 2x_1 +x_2 \leq10 \\ & x_2 +x_2 \leq 8 \\ & x_1,x_2 \geq 0 \end{array}\)

  1. A.

    \(x_1=2, x_2=0, \text{ and } z=-4\)

  2. B.

    \(x_1=2, x_2=6, \text{ and } z=-22\)

  3. C.

    \(x_1=0, x_2=2, \text{ and } z=-6\)

  4. D.

    \(x_1=6, x_2=2, \text{ and } z=-18\)

Attempted by 3 students.

Show answer & explanation

Correct answer: A

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