Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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$370 a month. Each of Cindy's cupcakes will cost $3 to produce. She plans to charge $5 per
cupcake. Let x represent the number of cupcakes produced and sold.
11. Cindy wants to open a cupcake stand. She estimates that the cost of operating the stand will be
a. Write down the cost function C (x).
b. Write down the revenue function R(x).
c. Write down the profit function P(x).
d. How many cupcakes does Cindy need to sell to break-even?
12. Cindy wants to make more profit on her cupcake stand so she hired a market analyst. The analyst
determined that Cindy had accurately estimated her costs (see problem 11) and that her price-
demand function is given by p(x) = 6.8 – 0.001x
where xis the number of cupcakes produced and sold.
0SxS 3000
. Find the new revenue function for Cindy's cupcake stand.
Find the new profit function for Cindy's cupcake stand and determine its domain.
How many cupcakes does Cindy need to sell now in order to break-even?
76
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Transcribed Image Text:$370 a month. Each of Cindy's cupcakes will cost $3 to produce. She plans to charge $5 per cupcake. Let x represent the number of cupcakes produced and sold. 11. Cindy wants to open a cupcake stand. She estimates that the cost of operating the stand will be a. Write down the cost function C (x). b. Write down the revenue function R(x). c. Write down the profit function P(x). d. How many cupcakes does Cindy need to sell to break-even? 12. Cindy wants to make more profit on her cupcake stand so she hired a market analyst. The analyst determined that Cindy had accurately estimated her costs (see problem 11) and that her price- demand function is given by p(x) = 6.8 – 0.001x where xis the number of cupcakes produced and sold. 0SxS 3000 . Find the new revenue function for Cindy's cupcake stand. Find the new profit function for Cindy's cupcake stand and determine its domain. How many cupcakes does Cindy need to sell now in order to break-even? 76
ull LTE O
10:40
Columbia - Harpers Choice
Edit
Today 10:39 PM
Uodgers
Methe Kokkonatta
Grapio
1 be
d. Determine how many cupcakes Cindy should sell in order to maximize her profits.
e. What price should Cindy charge in order to maximize her profit?
QUIT
MODE
STA
expand button
Transcribed Image Text:ull LTE O 10:40 Columbia - Harpers Choice Edit Today 10:39 PM Uodgers Methe Kokkonatta Grapio 1 be d. Determine how many cupcakes Cindy should sell in order to maximize her profits. e. What price should Cindy charge in order to maximize her profit? QUIT MODE STA
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