Paul has opened a small laundry business in a touristic town. He is offering to clean and disinfect the clothes of tourists lodging in local cabins. The cost ?C (in dollars) to clean and disinfect ?x kilograms of clothes is given by ?=1.3?+52.5.C=1.3x+52.5. He charges $2.50 for cleaning and disinfecting each kilogram of clothes.   a) Find the break-even quantity of clothes. b) Write the equation for the profit in terms of the number ?x of kilograms of clothes cleaned and disinfected. Simplify your answer. c) How many kilograms of clothes must Paul clean and disinfect to make a profit of $300?

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
100%

Paul has opened a small laundry business in a touristic town. He is offering to clean and disinfect the clothes of tourists lodging in local cabins. The cost ?C (in dollars) to clean and disinfect ?x kilograms of clothes is given by

?=1.3?+52.5.C=1.3x+52.5.

He charges $2.50 for cleaning and disinfecting each kilogram of clothes.

 

a) Find the break-even quantity of clothes.

b) Write the equation for the profit in terms of the number ?x of kilograms of clothes cleaned and disinfected. Simplify your answer.

c) How many kilograms of clothes must Paul clean and disinfect to make a profit of $300?

Expert Solution
steps

Step by step

Solved in 2 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