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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.

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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 43E
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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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