A small business can produce a maximum of 54 of its product per month and sell them for $ each. The variable costs are $1 per unit and fixed costs are $150 per month. a) Find the revenue function. R(x) = b) Find the cost function. C(x) = = c) Calculate the number of items needed to be sold per month to break-even. d) Calculate the revenue at the break-even (round off to the nearest cent). $ e) Plot the revenue and cost functions.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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A small business can produce a maximum of 54 of its product per month and sell them for $6
each. The variable costs are $1 per unit and fixed costs are $150 per month.
a) Find the revenue function.
b) Find the cost function.
C(x) =
c) Calculate the number of items needed to be sold per month to break-even.
d) Calculate the revenue at the break-even (round off to the nearest cent). $
e) Plot the revenue and cost functions.
400
300
200
R(x) =
-
Revenue/Cost($)
Transcribed Image Text:A small business can produce a maximum of 54 of its product per month and sell them for $6 each. The variable costs are $1 per unit and fixed costs are $150 per month. a) Find the revenue function. b) Find the cost function. C(x) = c) Calculate the number of items needed to be sold per month to break-even. d) Calculate the revenue at the break-even (round off to the nearest cent). $ e) Plot the revenue and cost functions. 400 300 200 R(x) = - Revenue/Cost($)
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Follow-up Question

Crystal is running a picture-framing business. Refer to the given break-even chart for her business and answer the following questions. Round off all values to the nearest whole number if required.

 

123-151015202530-5

a) What is the number of units at break-even? 

b) What is the revenue at break-even?  

c) Find the revenue function.   TR= 

d) Find the cost function.   TC=    

 

 

 

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