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     Consider the following problem     Maximize Z=2x1 + 5x2 + x3 subject to                4x1+ 2x2 + x3 ?...

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General Management

     Consider the following problem

    Maximize Z=2x1 + 5x2 +x3

subject to

              4x1+ 2x2 + x3 ? 6

               x1 + x2 ? 2

               xi ? 0 for i=1,2,3

a. Inserting slack variables, construct the initial simplextableau. What is the initial basic feasible solution?

b. What is the next non-basic variable to enter the basis

c. Using the minimum ratio rule, identify the basic variable toleave the basis.

d. Using elementary row operations, find the next basic feasiblesolution.

    Note: You do not need to find the optimalsolution to this problem. Just go through one iteration of thesimplex method.

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