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?
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...
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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?
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