What is the optimal solution (X, Y, Z) to the following linear program?

What is the optimal solution (X, Y, Z) to the following linear program?



Max 2X + 4Y + 6Z

Subject to

Z ≤ 0

X + Y + Z ≤ 20

X, Y, Z ≥ 0



a) (0, 0, 20)

b) (20, 0, 0)

c) (0, 20, 0)

d) (20, 20, 20)

e) the solution is unbounded



Answer: c


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