Total cost and total revenue for producing and selling smartphones are given by…

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

Problem

Total cost and total revenue for producing and selling

q

smartphones are given by

C(q)=10q+500\quad\text{and}\quad R(q)=25q-0.01q^{2}.

Determine the marginal profit when

q=600

smartphones are produced.