Question: 1. Use the simplex algorithm to find two optimal solutions to the following LP: max z= 5x1 + 3x2 + x3 s.t. X1 + x2

1. Use the simplex algorithm to find two optimal

1. Use the simplex algorithm to find two optimal solutions to the following LP: max z= 5x1 + 3x2 + x3 s.t. X1 + x2 + 3x3 0 Be sure to show your work. For each optimal solution, provide the values of all variables and objective function. (30 points) 1. Use the simplex algorithm to find two optimal solutions to the following LP: max z= 5x1 + 3x2 + x3 s.t. X1 + x2 + 3x3 0 Be sure to show your work. For each optimal solution, provide the values of all variables and objective function. (30 points)

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