Question

The Marginal Revenue function for a company's product is:

MR = 240000 - 22x

where x equals the number of units sold. If total revenue equals 0 when 0 units are sold, determine the total revenue.

Answer 1

$$TR=\int MR dx$$

$$TR=\int (240000-22x) dx=240000x-11x^2+c$$

Given $TR(0)=0$

$$240000(0)-11(0)^2+c=0=>c=0$$

$$TR=240000x-11x^2$$