Question: Find the range of 2 in which the optimal solution does not change. Find the range of 2 in which the optimal basis does not

Find the range of 2 in which the optimal solution

Find the range of ₂ in which the optimal solution does not change. Find the range of ₂ in which the optimal basis does not change. Also, find its shadow price. Find shadow price of ₃. It would be zero. What does it signify? Now imagine a fourth constraint ₁ 25. Note that the optimal solution has changed. Obtain shadow price of ₄. It would be negative. How would you interpret a negative shadow price?

c_1,c₂and c₃are the coefficients of the objective function while b_1,b₂and b₃are the RHS of the constraints.

Sensitivity analysis Let us consider the carpenter's problem with the following data. Table Chair Availability An LP model for the problem is: Lumbar 2 1 100 Maximize 3x1 + 2x2 Labor 1 1 80 s.t. 2xy + x2

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