The revenue (in rupees) earned from selling a product at price Rs is given by for

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The revenue (in rupees) earned from selling a product at price Rs

p

is given by

R(p)=800p-20p^{2}

for

p\ge 0

. (i) Determine the price that yields the maximum revenue. (ii) Show that the revenue at this price is a maximum.