Textbook Problem

MARGINAL REVENUE, COST, AND PROFIT

In Problems 1-8, total revenue is in dollars and x is the number of units.

Suppose that the total revenue function for a commodity is $R=36x—\text{ 0}.01x^2$.

(a) Find $R(100)$ and tell what it represents.

(b) Find the marginal revenue function.

(c) Find the marginal revenue at x = 100, and tell what it predicts about the sale of the next unit and the next 3 units.

(d) Find $R\left(101\right)-R\left(100\right)$ and explain what this value represents.