A company's cost equation is C(q) = 400 + 12√, where a is the quantity produced. Find the marginal cost when producing 64 items. Select an answer

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
### Cost Analysis Problem

A company's cost equation is given by:

\[ C(q) = 400 + 12\sqrt{q}, \]

where \( q \) is the quantity produced. The task is to find the marginal cost when producing 64 items.

**Question:**
Find the marginal cost when producing 64 items.

**Answer Options:**

- [Dropdown menu with answer options]

In this scenario, the primary goal is to determine the marginal cost, which can be found by differentiating the cost function \( C(q) \) with respect to \( q \), and then substituting \( q = 64 \) into the resulting expression.
Transcribed Image Text:### Cost Analysis Problem A company's cost equation is given by: \[ C(q) = 400 + 12\sqrt{q}, \] where \( q \) is the quantity produced. The task is to find the marginal cost when producing 64 items. **Question:** Find the marginal cost when producing 64 items. **Answer Options:** - [Dropdown menu with answer options] In this scenario, the primary goal is to determine the marginal cost, which can be found by differentiating the cost function \( C(q) \) with respect to \( q \), and then substituting \( q = 64 \) into the resulting expression.
Expert Solution
steps

Step by step

Solved in 3 steps with 5 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