Question: Solve the following linear programming model using the simplex algorithm manually (without using a solver). = 121 + 182 + 103 .. 21 + 32

Solve the following linear programming model using the simplex algorithm manually (without using a solver). = 121 + 182 + 103

.. 21 + 32 + 43 50

1 2 3 0

2 1.53 0

1, 2, 3 0

- Determine the shadow prices and reduced cost

- Determine the range of the shadow price for the first constraint.

- What will happen to the optimal solution, and the objective value if the RHS for the first constraint increased by 5.

- what will happen to the objective value if you produce one unit from 3 ?

- Write the dual problem and solve it.( Compare the results i.e. w*, with Z*)

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