Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $3.50. Her total cost to produce 40 T-shirts is $230, and she sells them for $7 each. a. Find the linear cost function for Joanne's T-shirt production. b. How many T-shirts must she produce and sell in order to break even? c. How many T-shirts must she produce and sell to make a profit of $600? a. The linear cost function is C(x) = 3.5x + 90 b. Joanne must produce and sell T-shirts in order to break even.

Calculus: Early Transcendentals
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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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Q8 Joanne must produce and sell ___ t-shirts in order to break even
Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $3.50. Her total cost to produce 40 T-shirts is $230, and she sells them for $7 each.
a. Find the linear cost function for Joanne's T-shirt production.
b. How many T-shirts must she produce and sell in order to break even?
c. How many T-shirts must she produce and sell to make a profit of $600?
a. The linear cost function is C(x) = 3.5x + 90
b. Joanne must produce and sell
T-shirts in order to break even.
Transcribed Image Text:Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $3.50. Her total cost to produce 40 T-shirts is $230, and she sells them for $7 each. a. Find the linear cost function for Joanne's T-shirt production. b. How many T-shirts must she produce and sell in order to break even? c. How many T-shirts must she produce and sell to make a profit of $600? a. The linear cost function is C(x) = 3.5x + 90 b. Joanne must produce and sell T-shirts in order to break even.
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