A linear programming problem is as follows,
Maximize Z = 75x + 65y
Subject to the constraints, x + 3y ≥ 33, 2x + 6y ≤ 3, and  x, y ≥ 0.
The maximum value of Z,

1
unique
2
exists at two points
3
does not exist
4
exists at infinite number of points

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