Question: Consider the following problem. Maximize Z=2x1 - x2 + x3. subject to 2x1 + x2 x1 - x2 + 3x3 S 4 s 10 XL

Consider the following problem. Maximize Z=2x1 -

Consider the following problem. Maximize Z=2x1 - x2 + x3. subject to 2x1 + x2 x1 - x2 + 3x3 S 4 s 10 XL - X2 X3S 7 X120,X220, X3 20. a. [4pts] Transform the model to the augmented form. b. [18pts] Use the simplex method to find the optimal solution for this problem. Report the optimal solution (all decision variable values) and its objective function value at the end. Clearly identify the entering and leaving variables in each iteration. Iteration 0 Coefficient of: Basic Var Eq Z Right Hand Side (0) (1) (2) (3) Entering variable: Leaving variable: Iteration 1 Coefficient of: Basic Var Eq Z Right Hand Side (0) (1) (2) (3) Entering variable: Leaving variable: Iteration 2 Basic Var Coefficient of: Eq Z Right Hand Side (0) (1) (2) (3) Report the optimal Solution: c. [8pts] Display the model (original model) on an Excel spreadsheet and solve the problem using Excel solver

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