Question: Consider the following problem. Maximize Z = 5x1 + 3x2 + 4x3, Subject to and x1 0, x2 0, x3 0. You

Consider the following problem.
Maximize Z = 5x1 + 3x2 + 4x3,
Subject to

and
x1 ‰¥ 0, x2 ‰¥ 0, x3 ‰¥ 0.

You are given the information that the nonzero variables in the optimal solution are x₂ and x₃.

(a) Describe how you can use this information to adapt the simplex method to solve this problem in the minimum possible number of iterations (when you start from the usual initial BF solution). Do not actually perform any iterations.

(b) Use the procedure developed in part (a) to solve this problem by hand. (Do not use your OR Courseware.)

3x2, 30

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