The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. a. Find the cost function C when "z" energy drinks are manufactured. C(z) = . Write your answer in slope-intercept form. b. Find the revenue function R when "z" drinks are sold. R(z) = Write your answer in slope-intercept form. e. Graph both your Revenue and Cost functions on the graph below that shows the break-even point. 26000- 24000- 22000- 20000- 18000- 16000 14000- 12000 10000- 8000+ 6000+ 4000+ 2000 -2500 -2000- 2500 5000 7500 10000 12500 15000 4000- d. How many energy drinks does the manufacturer have to sell to break-even? e. How much Revenue will the manufacturer have to take in to break-even?

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Chapter2: Second-order Linear Odes
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The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000.

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The
manufacturer also has fixed costs each month of $8,000.
a. Find the cost function C when "x" energy drinks are manufactured. C(z) -
Write your answer in slope-intercept form.
b. Find the revenue function R when "a" drinks are sold. R(x) =
Write your answer in slope-intercept form.
c. Graph both your Revenue and Cost functions on the graph below that shows the break-even point.
26000-
24000+
22000-
20000-
18000-
16000-
14000-
12000-
10000-
8000-
6000-
4000+
2000-
-2500
2500
5000
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10000
12500
15000
-2000-
-4000-
d. How many energy drinks does the manufacturer have to sell to break-even?
e. How much Revenue will the manufacturer have to take in to break-even?
Transcribed Image Text:The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. a. Find the cost function C when "x" energy drinks are manufactured. C(z) - Write your answer in slope-intercept form. b. Find the revenue function R when "a" drinks are sold. R(x) = Write your answer in slope-intercept form. c. Graph both your Revenue and Cost functions on the graph below that shows the break-even point. 26000- 24000+ 22000- 20000- 18000- 16000- 14000- 12000- 10000- 8000- 6000- 4000+ 2000- -2500 2500 5000 7500 10000 12500 15000 -2000- -4000- d. How many energy drinks does the manufacturer have to sell to break-even? e. How much Revenue will the manufacturer have to take in to break-even?
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