Let's consider the marginal cost function C' (x) = 0.02x + 28, where x represents the level of production and C'(x) represents the marginal cost. At the production level of 175 items, the cost is known to be $9,403.75. a. Compute C' (580). Round to the nearest cent. C'(580) = $ 16.4 V per item b. Integrate C' (x) to find the cost function C(x). C(x) : Preview c. Compute the integral C(580). Round to the nearest dollar. C(580) = $ 16.4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Let's consider the marginal cost function
C' (x) =
0.02x + 28,
where x represents the level of production and C' (x) represents the marginal cost. At the production level of 175
items, the cost is known to be $9,403.75.
a. Compute C' (580). Round to the nearest cent.
C' (580)
= $ 16.4
V per item
b. Integrate C' (x) to find the cost function C(x).
C(x) =
Preview
c. Compute the integral C(580). Round to the nearest dollar.
C(580) = $ 16.4
Transcribed Image Text:Let's consider the marginal cost function C' (x) = 0.02x + 28, where x represents the level of production and C' (x) represents the marginal cost. At the production level of 175 items, the cost is known to be $9,403.75. a. Compute C' (580). Round to the nearest cent. C' (580) = $ 16.4 V per item b. Integrate C' (x) to find the cost function C(x). C(x) = Preview c. Compute the integral C(580). Round to the nearest dollar. C(580) = $ 16.4
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning