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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
. A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper
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