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The region represented by the system of inequalities x≥0;y≥0, 2x+y≥8 and x+2y≥10 is
Question

The region represented by the system of inequalities x≥0;y≥0, 2x+y≥8 and x+2y≥10 is

A.

Unbounded in first quadrant only

B.

Unbounded in second quadrant only

C.

Unbounded in first and second quadrant

D.

No feasible region

Correct option is A

Given
x≥0;y≥0,
2x+y≥8 …………… (i)
and x+2y≥10 ……………. (ii)
from (i) & (ii)
we get coordinates are
(4, 0), (0, 8), (10, 0) & (0, 5)
Feasible region is unbounded first quadrant.

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