Question: Given the following linear program: Max z = x1 2x2 Subject to: -4x1 + 3x2 3 x1 x2 3 x1, x2 0 (a) Graph the

Given 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 this problem.

(b) Is the feasible region unbounded? Explain

(c) Find the optimal solution if it exists.

(d) Does an unbounded region imply that there is no optimal solution? Explain.

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