Shape of the feasible region formed by the following constraints is

2x + 3y ≥ 6, 2x + 3y ≤ 12, x ≥ 0, y ≥ 0

Triangular region

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Unbounded solution

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Trapezium

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No feasible region

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Solution

The correct option is C
Trapezium

Let us graph the given constraints as follows:

Thus the shape of the feasible region formed by the given constraints is a Trapezium.

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Similar questions

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

Shape of the feasible region formed by the following constraints is
x + y ≤ 10, x + y ≥ 6, x ≥ 0, y ≥ 0

2 x + 3 y \leq 18, x \geq 0, y \geq 0

2 x + 3 y \leq 6, 2 x + y \leq 4, x \geq 0, y \geq 0

z = 4 x + 5 y

2 x + y \leq 6, x \geq 0, y \geq 0

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