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Question

Shape of the feasible region formed by the following constraints is

X + y ≤ 2, x + y ≥ 5, x ≥ 0, y ≥ 0


A

Unbounded solution

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B

Triangular region

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C

Trapezium

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D

No feasible region

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Solution

The correct option is D

No feasible region


Consider the following graph.

Since there is no common region for the given constraints, it is clear from the graph that there is no feasible region.

And hence the correct option is (C).


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