A company’s revenue (in thousand rupees) from selling units is for

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

Problem

A company’s revenue (in thousand rupees) from selling

x

units is

R(x)=50x-\dfrac{x^{2}}{2}

for

0\le x\le30

. Determine the production level that yields the highest revenue on this interval and state the corresponding maximum revenue.