Question: Consider the following linear programming problem, and its optimal final tableau shown below: Maximize 2x1 + x2 x3 s.t. x1 + 2x2 + x3 8

Consider the following linear programming problem, and its optimal final tableau shown below:

Maximize 2x1 + x2 x3

s.t. x1 + 2x2 + x3 8

x1 + x2 2x3 4

x1, x2, x3 0

Final tableau

Z x1 x2 x3 x4 x5 RHS

Z 1 0 3 3 2 0 16

x1 0 1 2 1 1 0 8

x5 0 0 3 -1 1 1 12

Suppose a new activity x6 is proposed with unit cost 6 and consumption vector a6 = (2, 1)t . Find a new optimal solution?

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