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 for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
Problem 36PS
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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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