Consider the following linear program: Max Z = X1 – 2X2 Subject to – 4X1 +...

Question

Question

Consider the following linear program:

Max Z = X1 – 2X2

Subject to – 4X1 + 3X2 <= 3
X1 – X2 <= 3
X1, X2 >= 0

a) Graph the feasible region for the problem.

b) Is the feasible region unbounded? Explain.

c) Find the optimal solution.

d) Does an unbounded feasible region imply that the optimal solution to the linear program will be unbounded?

Answer 1

Answer #1

a)

b)
Yes, cause it is not closed region. It is open on one side.

c)
X1 = 3, X2 = 0 Z = 3

d)
No and this example is a proof

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all the best

Answer 2

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