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Question

Shape of feasible region formed by following constraints is 4x + y ≥ 20, 2x + 3y ≥ 30, x, y, ≥ 0.


A

Triangular region

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B

No feasible region

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C

Trapezium

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D

Unbounded region and shape is not fixed

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Solution

The correct option is D

Unbounded region and shape is not fixed


Consider the following graph of the given constraints.

From the graph it is clear that, the feasible region formed is unbounded and hence the shape is not fixed.


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