A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs are $5400 per day at a daily output of 20 boards. A. Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function. C(x) = (Do not factor.) B. The average cost per board for an output of x boards is given by C(x)=C(x)/x. Find the average cost function. C(x) =O (Do not factor.) C. Sketch a graph of the average cost function, including any asymptotes, for 1

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
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A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs are $5400 per day at a daily output of 20 boards.
A. Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
C(x) =|
(Do not factor.)
B. The average cost per board for an output of x boards is given by C(x)=C(x)/x. Find the average cost function.
C(x) =
(Do not factor.)
C. Sketch a graph of the average cost function, including any asymptotes, for 1<x<30. Choose the correct graph below.
O A.
ов.
OC.
OD.
Ay
500-
Ay
500-
Ay
500-
500-
0+
0-
0-
30
D. What does the average cost per board tend to as production increases?
Transcribed Image Text:A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs are $5400 per day at a daily output of 20 boards. A. Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function. C(x) =| (Do not factor.) B. The average cost per board for an output of x boards is given by C(x)=C(x)/x. Find the average cost function. C(x) = (Do not factor.) C. Sketch a graph of the average cost function, including any asymptotes, for 1<x<30. Choose the correct graph below. O A. ов. OC. OD. Ay 500- Ay 500- Ay 500- 500- 0+ 0- 0- 30 D. What does the average cost per board tend to as production increases?
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