Timmy notices there is a demand on campus for 3D printed dinosaur figurines so he decided to set up a 3D printing shop in his dorm room. He buys a FlashForge 3D printer on Amazon for $399. Each dinosaur requires $2 worth of filament to print. a.) Using a linear cost model, find the cost equation C(x) to print x dinosaurs. b.) Using a linear revenue model, if Timmy sells each dino for $3, find the revenue equation R(x) and the profit equation P(x). c.) How many dinos must Timmy sell to break even? Graph R(x) and C(x) and indicate the break even point on your graph.
Timmy notices there is a demand on campus for 3D printed dinosaur figurines so he decided to set up a 3D printing shop in his dorm room. He buys a FlashForge 3D printer on Amazon for $399. Each dinosaur requires $2 worth of filament to print. a.) Using a linear cost model, find the cost equation C(x) to print x dinosaurs. b.) Using a linear revenue model, if Timmy sells each dino for $3, find the revenue equation R(x) and the profit equation P(x). c.) How many dinos must Timmy sell to break even? Graph R(x) and C(x) and indicate the break even point on your graph.
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...
Related questions
Question
Timmy notices there is a demand on campus for 3D printed dinosaur figurines
so he decided to set up a 3D printing shop in his dorm room. He buys a FlashForge 3D
printer on Amazon for $399. Each dinosaur requires $2 worth of filament to print.
a.) Using a linear cost model, find the cost equation C(x) to print x dinosaurs.
b.) Using a linear revenue model, if Timmy sells each dino for $3, find the revenue equation
R(x) and the profit equation P(x).
c.) How many dinos must Timmy sell to break even? Graph R(x) and C(x) and indicate
the break even point on your graph.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning