Consider the Linear Programming Problem (LPP):

Maximize z = 2x + y

subject to the constraints:

3x - 7y ≤ 21

y - 2x ≤ 10

x, y ≥ 0. Then

1
The LPP admits a unique solution with an optimal value of Z.
2
The LPP is unbounded
3
The LPP admits infinite number of feasible solution with same optimal value of Z.
4
The LPP admits no feasible solution

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