The revenue function for a sporting goods company is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=600−0.4x is the unit price. Find the maximum revenue.

Question

The revenue function for a sporting goods company is given by dollars where is the number of units sold and is the unit price. Find the maximum revenue.

Answer 1

R(x) = x(p(x))

R(x) = x(600 - 0.4x)

R(x) = -0.4x² + 600x

Maximum at x = -b/2a, or 600 / 0.8, or 7500

What is R(7500)?