MATH 1324 Written Assignment 7 Section 2.4 Model and solve business applications with rational functions 6. Complete number 57 on page 93 57. Average cost. A company manufacturing snowboards has fixed costs of $200 per day and total costs of $3,800 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. = B) The average cost per board for an output of x boards is given by C(x) = average cost function. C) Sketch a graph of C(x), including any asymptotes, for 1 ≤ n ≤ 30. D) What does the average cost per board tend to as production increases? Find the

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MATH 1324 Written Assignment 7
Section 2.4 Model and solve business applications with rational functions
6. Complete number 57 on page 93
57. Average cost. A company manufacturing snowboards has fixed costs of $200 per
day and total costs of $3,800 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.
B) The average cost per board for an output of x boards is given by C(x) = (x). Find the
average cost function.
C) Sketch a graph of C(x), including any asymptotes, for 1 ≤ n ≤ 30.
D) What does the average cost per board tend to as production increases?
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Transcribed Image Text:MATH 1324 Written Assignment 7 Section 2.4 Model and solve business applications with rational functions 6. Complete number 57 on page 93 57. Average cost. A company manufacturing snowboards has fixed costs of $200 per day and total costs of $3,800 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. B) The average cost per board for an output of x boards is given by C(x) = (x). Find the average cost function. C) Sketch a graph of C(x), including any asymptotes, for 1 ≤ n ≤ 30. D) What does the average cost per board tend to as production increases? TAKE A TOUR
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