Question

A tricycle company's cost, in thousands of dollars, is represented by the function C(x)=45x+8700 and its revenue, in thousands of dollars, is represented by the function R(x)=75x. Each tricycle is represented by x. How much will the company profit if they sell 2000 tricycles?

Answer 1

Profit = 51300 thousand dollars

Step-by-step explanation:

Cost function in thousands of dollars is given by C(x) = 45 x + 8700, where x represent number of tricycles sold.

Revenue of function R(x) = 75 x

We have the expression for profit = Revenue - Cost

Number of tricycles sold = 2000

Revenue = 75 * 2000 = 150000 thousand dollars

Cost = 45 * 2000 + 8700 = 98700 thousand dollars

Profit = 150000 - 98700 = 51300 thousand dollars