The profit (in thousand rupees) from producing hundred items of a product is P(x)=-x^…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The profit (in thousand rupees) from producing xx hundred items of a product is P(x)=−x3+12x2+60x−100,x≥0.P(x)=-x^{3}+12x^{2}+60x-100,\qquad x\ge 0. Up to what production level should the firm increase output so that profit continues to rise? (a) 1212 hundred items (b) 1010 hundred items (c) 99 hundred items (d) 88 hundred items

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