A coffee production company stores its coffee beans in 60-kg sacks. The cost, in dollars, of producing r sacks of coffee beans is given by C(x) = 1200 + 3x-0.01a2 +0.0000723. 1. Find the marginal cost function.

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
“1 2 3” all refer to the same equation at the top. so i included all three questions in the same post so it’s less confusing.
A coffee production company stores its coffee beans in 60-kg sacks. The cost, in dollars, of producing r sacks
of coffee beans is given by
C(x) = 1200 + 3x –0.01x? + 0.00007x³.
1. Find the marginal cost function.
2. Find the value C'(200), and explain its meaning.
3. Compute the cost of producing the 201st sack of coffee (you may use a calculator for this). Does the
marginal cost provide a good approximation to this cost?
Transcribed Image Text:A coffee production company stores its coffee beans in 60-kg sacks. The cost, in dollars, of producing r sacks of coffee beans is given by C(x) = 1200 + 3x –0.01x? + 0.00007x³. 1. Find the marginal cost function. 2. Find the value C'(200), and explain its meaning. 3. Compute the cost of producing the 201st sack of coffee (you may use a calculator for this). Does the marginal cost provide a good approximation to this cost?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
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