Question

A cereal company's cost, in thousands of dollars, is represented by the function C ( x ) = 2 x + 4500 and its revenue, in thousands of dollars, is represented by the function R ( x ) = 5 x . Each box of cereal is represented by x . How much will the company profit if they sell 12000 boxes? Round your answer to the nearest dollar, and do not include the dollar sign in your answer.

Answer 1

31,500

Step-by-step explanation:

Cost function, C (x) = 2 x + 4500

Revenue function, R (x) = 5 x

Profit = Total revenue - Total cost

= R(x) - C(x)

= 5 x - [2 x + 4500]

= 3 x - 4,500

If company sells 12,000 boxes, then profit will be:

= 3 x - 4,500

= 3(12,000) - 4,500

= 36,000 - 4,500

= 31,500

Therefore, 31,500 is the profit earn by the company by selling 12,000 boxes of cereal.