Question: 1. (12 Points) Consider the linear program shown below. min z = 5:01 - 3.22 - X3 + 2.24 s.t. 21 521 + I 1

1. (12 Points) Consider the linear program shown

1. (12 Points) Consider the linear program shown below. min z = 5:01 - 3.22 - X3 + 2.24 s.t. 21 521 + I 1 22 22 C2 Il + 2x3 + X4 0 (a) Show the initial tableau you would create in order to solve the LP by hand using the Simplex Method as taught in class. (b) Showing all intermediate tableaux and the work you did to determine pivot points, use the Simplex Method to solve the linear program. Show the optimal solution, including the optimal objective function value, if an optimal solution exists. If no optimal solution exists, explain why not. If multiple optimal solutions exist, report three of them

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