Problems based on lpp when feasible region is a line segment, Operation Research

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Problems based on LPP when feasible region is a line segment or it does not exist.

1. Maximize z = 2x+3y subject to the constraints

X + y ≤ 1

X + y ≥ 3

X, y ≥ 0

script

solution

1. Let z = 2x+3y

2. Let us draw lines X +y = 1 and x + y = 3using suitable points on the graph.

3. There is no common region satisfying the given conditions

X +y = 1 and x + y = 3

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