An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by C(x) = 730 + 38x - 0.067x^2 and R(x) = 45x^(9/10), respectively. Determine the rate at which the accessories company's average profit per belt is changing when 172 belts have been produced and sold. First, find the rate at which the average profit is changing when x belts have been produced. P?'(x) =
Added by Denise M.
Close
Step 1
Step 1: Find the rate at which the average profit is changing when x belts have been produced_ Show more…
Show all steps
Your feedback will help us improve your experience
Melissa Munoz and 67 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by C(x) = 710 + 35x - 0.062x^2 and R(x) = 65x^(9/10), respectively. Determine the rate at which the accessories company's average profit per belt is changing when 172 belts have been produced and sold. First, find the rate at which the average profit is changing when x belts have been produced. When 172 belts have been produced and sold, the average profit is changing at for each additional belt.
Keondre P.
An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by
Lien L.
The cost, in dollars, of producing x belts is given by C(x) = 873 + 16x - 0.072x^2. The revenue, in dollars, of producing and selling x belts is given by R(x) = 43x^(2/9). Find the rate at which average profit is changing when 676 belts have been produced and sold. When 676 belts have been produced, the average profit is changing at 0.0742 dollars per belt for each additional belt. (Round to four decimal places as needed. Do not include the $ symbol in your answer.)
Syed M.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD