Question: Consider the following linear programming problem: P: Max z = 5x1 2x2 x2 8 x1 + x2 >= 5 -0.4x1 x2 2 x1, x2 >=

Consider the following linear programming problem:

P: Max z = 5x1 2x2

x2 8

x1 + x2 >= 5

-0.4x1 x2 2

x1, x2 >= 0

(a) Plot the graph & determine the optimal solution. What special case does occur, if any? Explain.

(b) Which special case (if any) occurs if you add the constraint 10x1 + 4x2 20?

(c) Which special case (if any) occurs if you add the constraint 6x1 + 2.5x2 12.5?

(d) Which special case (if any) occurs if you add the constraint x1 + x2 10?

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