Question: (15 Marks) Q1: Solve the following linear programming model by the Simplex Method to find the Optimal Solution : Maximum (Z) = 6X1 + 10X2

(15 Marks) Q1: Solve the following linear
(15 Marks) Q1: Solve the following linear programming model by the Simplex Method to find the Optimal Solution : Maximum (Z) = 6X1 + 10X2 (OF) Subject to : 0 X1 -(2) Q2: Consider the following linear programming problem, using the Simplex Big M method: Minimum (Z) = 8X, + 12X2 (OF) Subject to : 2X1 + X2 40 -(2) 4X1 + 5X2 -(3) X1, X2 > 0 20 1- Prepare the First Starting Table of Simplex 2- Is it an optimal solution or not? And why? 3- Determine the entering variable (EV) and leaving variable (LV), and the Pivot element. (15 Marks) Q1: Solve the following linear programming model by the Simplex Method to find the Optimal Solution : Maximum (Z) = 6X1 + 10X2 (OF) Subject to : 0 X1 -(2) Q2: Consider the following linear programming problem, using the Simplex Big M method: Minimum (Z) = 8X, + 12X2 (OF) Subject to : 2X1 + X2 40 -(2) 4X1 + 5X2 -(3) X1, X2 > 0 20 1- Prepare the First Starting Table of Simplex 2- Is it an optimal solution or not? And why? 3- Determine the entering variable (EV) and leaving variable (LV), and the Pivot element

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