Question: Use the simplex algorithm to find two optimal solutions to the following LP: max z = 4x 1 + 3x 2 + x 3 s.t.

  1. Use the simplex algorithm to find two optimal solutions to the following LP:

max z = 4x1 + 3x2 + x3

s.t. x1 + x2 + 3x3 6

4x1 + 3x2 + 6x3 15

x1, x2 , x3 0

Be sure to show your work. For each optimal solution, provide the values of all variables and objective function.

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