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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Corner points of the feasible region for an LPP are
$(0,2),; (3,0),; (6,0)$ and $(6,8)$.
If $z=2x+3y$ is the objective function of LPP then
$\max(z)-\min(z)$ is equal to:
Solution
Evaluate $z=2x+3y$ at each corner point:
At $(0,2)$
$z=2(0)+3(2)=6$
At $(3,0)$
$z=2(3)+3(0)=6$
At $(6,0)$
$z=2(6)+0=12$
At $(6,8)$
$z=2(6)+3(8)=12+24=36$
So,
$\max(z)=36$
$\min(z)=6$
Therefore,
$\max(z)-\min(z)=36-6=30$
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