The Optimal Solution of the Linear Programming Problem Is at the Intersection

question 7

Essay

The optimal solution of the linear programming problem is at the intersection of constraints 1 and 2.
Max
2x₁ + x₂
s.t.
4x₁ + 1x₂ $\le$ 400
4x₁ + 3x₂ $\le$ 600
1x₁ + 2x₂ $\le$ 300
x₁ , x₂ $\ge$ 0
a.Over what range can the coefficient of x₁ vary before the current solution is no longer optimal?
b.Over what range can the coefficient of x₂ vary before the current solution is no longer optimal?
c.Compute the dual prices for the three constraints.

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