Question: Solve the following linear programming model using the simplex algorithm. = Max Z S.t. 12X1 + 18x2 + 10x3 2x1 + 3x2 + 4x3 0

Solve the following linear programming model

Solve the following linear programming model using the simplex algorithm. = Max Z S.t. 12X1 + 18x2 + 10x3 2x1 + 3x2 + 4x3 0 1. Determine the shadow prices and reduced cost 2. Determine the range of the shadow price for the first constraint. 3. What will happen to the optimal solution, and the objective value if the RHS for the first constraint increased by 5. 4. what will happen to the objective value if you produce one unit from xz ? 5. Write the dual problem and solve it.( Compare the results i.e. w*, with Z*)

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