Question: Answer the questions related to the model below: max. 3 x1 + 2 x2 st 2 x1 + 2 x2 5 2 x1 + x2

Answer the questions related to the model below: max. 3 x1 + 2 x2 st 2 x1 + 2 x2 5 2 x1 + x2 4 x1 + 2 x2 4 x1, x2 0

a. Use the graphical solution technique to find the optimal solution to the model.

b. Use the simplex algorithm to find the optimal solution to the model.

c. For which objective function coefficient value ranges of x1 and x2 does the solution remain optimal?

d. Find the dual of the model.

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