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A linear programming problem is as follows:

πππππππ§π π = 30π₯ + 50π¦

subject to the constraints,

Β 3π₯ + 5π¦ β₯ 15

Β 2π₯ + 3π¦ β€ 18

Β π₯ β₯ 0,π¦ β₯ 0

In the feasible region, the minimum value of Z occurs at

## (a) a unique pointΒ Β Β Β Β Β Β (b) no point

## (c) infinitely many pointsΒ (d) two points only