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Statistics

Consider the following LP problem:

Maximize profit = 1X₁ + 1X₂

Subject to 2X₁ + 1X₂ ≤ 100

1X₁ + 2X₂ ≤ 100

a) What is the optimal solution to this problem? Solve it graphically.

b) If a technical breakthrough occurred that raised the profit per unit of X₁ to $3, would this affect the optimal solution?

c) Instead of an increase in the profit coefficient X₁to $3, suppose the profit was overestimated and should have only been $1.25. Does this change the optimal solution?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9161587

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