College algebra

Question

Suppose the weekly cost for the production and sale of bicycles is C(x)=30x+4074 dollars and the the total revenue is given by R(x)=87x dollars, where x is the number of bicycles. Write the equation of the function that models the weekly profit from the production and sale of x bicycles.

Answer 1

Hello, thank you for taking the time to post your question!

To find the Profit Function on this one you want to take

P(x) = R(x) – C(x) , where R(x) is the revenue function and C(x) is the cost function

For the information in this question that becomes

P(x) = 87x – (30x + 4074)

P(x) = 87x – 30x – 4074

P(x) = 57x – 4074, which would be the general form of the equation to model the weekly profit from the production and sale of x bicycles

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Hello Monica,

Noting that Profit = Revenue - Cost, P(x) = R(x) - C(x), we get

P(x) = (87x) - (30x + 4074)

= 57x - 4074

Thank you for the question.

Michael E.