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Previous Year Question (PYQs)
1
The corner points of the feasible region for an L.P.P are
$(2,0),(7,0),(4,5),(0,3)$
and
$z=2x+3y$
is the objective function.
The difference of the maximum and minimum values of $z$ is:
Solution
Evaluate $z=2x+3y$ at each corner point.
At $(2,0)$
$z=2(2)+3(0)=4$
At $(7,0)$
$z=2(7)+3(0)=14$
At $(4,5)$
$z=2(4)+3(5)=8+15=23$
At $(0,3)$
$z=2(0)+3(3)=9$
Maximum value of $z=23$
Minimum value of $z=4$
Difference
$23-4=19$
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