If the derivative can be thought of as a marginal revenue function for x units (in hundreds of items) sold, and the revenue for a company is given by the function.

R(x) = 30x^3 - 120x^2 + 500 for 0 _< x _< 100,

a. Sketch the graphs of the functions R(x) and R'(x) .

b. Find the number of units sold at which the marginal revenue begins to increase.

If the derivative can be thought of as a marginal revenue function for x units (in hundreds of items) sold, and the revenue for a company is given by the function.

R(x) = 30x^3 - 120x^2 + 500 for 0 _< x _< 100,

a. Sketch the graphs of the functions R(x) and R'(x) .

b. Find the number of units sold at which the marginal revenue begins to increase