A company produces very unusual CD's for which the variable cost is $20 per CD and the fixed costs are $35,000. They will sell the CD's for $51 each. Let z be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C = $ Write the total revenue R as a function of the number of CD's produced. R=S Write the total profit P as a function of the number of CD's produced. (Profit Revenue - Cost) P=S Lastly, determine the number of CD's which must be produced to break even. "Breaking even" is when Revenue Cost, or when Profit = 0. If needed, round up to the next whole CD. The number of CD's which must be produced to break even is

Calculus: Early Transcendentals
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Author:James Stewart
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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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A company produces very unusual CD's for which the variable cost is $20 per CD and the fixed costs are
$35,000. They will sell the CD's for $51 each. Let a be the number of CD's produced.
Write the total cost C as a function of the number of CD's produced.
C = $
Write the total revenue R as a function of the number of CD's produced.
R=$
Write the total profit P as a function of the number of CD's produced.
(Profit = Revenue - Cost)
P = S
Lastly, determine the number of CD's which must be produced to break even.
"Breaking even" is when Revenue = Cost, or when Profit = 0. If needed, round up to the next whole CD.
The number of CD's which must be produced to break even is
Transcribed Image Text:A company produces very unusual CD's for which the variable cost is $20 per CD and the fixed costs are $35,000. They will sell the CD's for $51 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C = $ Write the total revenue R as a function of the number of CD's produced. R=$ Write the total profit P as a function of the number of CD's produced. (Profit = Revenue - Cost) P = S Lastly, determine the number of CD's which must be produced to break even. "Breaking even" is when Revenue = Cost, or when Profit = 0. If needed, round up to the next whole CD. The number of CD's which must be produced to break even is
Expert Solution
Step 1

Concept:

For break even the profit is zero P(x)=0

Also the formula used to find the value of C(x),R(x) and P(x) are

Total cost=fixed cost +variable cost×xTotal revenue=selling price(x)profit function = revenue function -cost function

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