Answer to Question #198911 in Algebra for owais afzal

Question

The Marginal Revenue function for a company's product is: [05] MR = 220000 - 18x where x equals the number of units sold. If total revenue equals 0 when 0 units are sold, determine the total revenue. 

Answer 1

Given:

To explain the given statement as follows,

Here, the Marginal Revenue = 220000 - 18x.

To find the total revenue of the company.

Solution:

The Marginal Revenue $\frac{dR}{dx}=220000-18x$

Now integrating with respect to x on both sides, we get

$R(x) = 220000x − 18\frac{x^2}{2}+c$

$R(x) = 220000x−9x^2 +c$

$c=0$

Therefore, the Total Revenue as a function of x is 

$R(x) = 220000x−9x^2 .$