Question: Question 1: Consider the following LP model. max = 41 + 42 s.t. 31 2 9 1 + 2 7 52 25 1 0, 2

Question 1: Consider the following LP model.

max = 41 + 42

s.t. 31 2 9

1 + 2 7

52 25

1 0, 2 0

Part a) Find the optimal solution for the above model using simplex technique.

Part b) Find the shadow prices (optimal dual variables) for the model.

Part c) If you could buy an additional unit of the first resource for a cost of 5/2, would you do this? Why?

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