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CUET
-- Mathematics - Section B1
Continuity and Differentiability
a
b
c
d
$P(x)=-5x^2+125x+37500$
$P'(x)=-10x+125⇒x=12.5$
$P''(x)=-10<0⇒x=12.5$ (point of maxima)
at $x=12.5$ units of production (point of maxima reached)