Consider the following cost function. a. Find the average cost and marginal cost functions. b. Determine the average and marginal cost when x = a. c. Interpret the values obtained in part (b). C(x) = 0.03x^3 + 0.2x^2 + 40x + 120, 0 ? x ? 1500, a = 500 a. The average cost function is ?(x) = 0.03x^2 + 0.2x + 40 + rac{120}{x}
Added by Thomas P.
Close
Step 1
The average cost function is given by the total cost function divided by the quantity produced, which is: AC(x) = \frac{C(x)}{x} = \frac{0.03x^3 + 0.2x^2 + 40x + 120}{x} Now, we need to find the marginal cost function. The marginal cost function is the Show more…
Show all steps
Your feedback will help us improve your experience
Sanchit Jain and 98 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
Adi S.
Consider the following cost function. a. Find the average cost and marginal cost functions. b. Determine the average and marginal cost when x = a. c. Interpret the values obtained in part (b). C(x) = 0.01x^3 + 0.2x^2 + 60x + 130, 0 ≤ x ≤ 1500, a = 500.
Madhur L.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD