Question: Write the dual of the following linear programming problem: Maximize Subject to Z = 3 x 1 + 5 x 2 + 4 x 3

  1. Write the dual of the following linear programming problem:

Maximize Subject to

Z = 3x1 + 5x2 + 4x3 , 2x1 + 3x2 8,

2x2 + 5x3 10

3x1 + 2x2 + 4x3 15

x1, x2 , x3 0

  1. Find the optimal solution to the given problem in (a) above, using the simplex method.
  1. From the final optimal table in (b) above, find the solution to the dual problem.
  2. Give the economic interpretation to the solution in (c) above.

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