A shop owner has determined that the profit from the sale of x cabinets is given by the function $P(x) = 64x + \ln(4x^2 + 10)$ dollars. Find the marginal profit function $P'(x)$.
Added by Leroy B.
Close
Step 1
Step 1: To find the marginal profit function P'(x), we need to find the derivative of the profit function P(x) with respect to x. Show more…
Show all steps
Your feedback will help us improve your experience
Andrew Noble and 55 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
A carpenter has determined that the profit from the sale of x shelves is given by the function P(x) = 57x + ln(5x^4 + 9) dollars. Find the marginal profit function P'(x).
Andrew N.
Suppose the cost function and the revenue function of a company for producing x units of products are C(x) = 80x + 180,000 dollars R(x) = -0.04x^2 + 600x i) Find the profit function; ii) Find the marginal profit function; iii) Find the marginal profit function at level of production x = 300.
Adi S.
Find the cost function for the given marginal cost and fixed cost. Marginal Cost Fixed Cost (x = 0) dC/dx = 1/80 x + 10 $8,000 C = Find the profit function for the given marginal profit and initial condition. Marginal Profit Initial Condition dP/dx = -40x + 950 P(8) = $6,900 P(x) =
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD