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Problems based on LPP when feasible region is unbounded.
1. Minimize z = 3x + 5y subject to constraints
X + y ≥ 2
X + 3y ≥ 3
X, y ≥ 0
script
solution
1. Let z = 3x + 5y
2. Let us Draw the line x + y = 6 and x + 3y = 3 using suitable points on the graph.
3.These lines intersect at
4. Now shade the region of intersection of these lines
5.Vertices of shaded feasible region are
Now,
At C(3,0)
At P(3\2,1\2)
At B(0,2)
Therefore at P(3\2,1\2), z=3x+5y is minimum
P(3\2,1\2)
(3,0) P(3\2,1\2) and B(0,2)
Z= 3x + 5y
Z= 9
Z= 7
Z= 10
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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 In a We
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