7. At a small clothing company, the estimated cost function for producing a new line of jeans is C(x)= x²-7x+ 30 where x is the number of pairs of jeans produced, in thousands. C(x) is measured in dollars. X a. [1K] Calculate the cost of a pair of jeans at a production level of 3000 pairs. b. [3K] Determine the rate at which the cost is changing at a production level of 3000 pairs of jeans using any method. Show all work.
7. At a small clothing company, the estimated cost function for producing a new line of jeans is C(x)= x²-7x+ 30 where x is the number of pairs of jeans produced, in thousands. C(x) is measured in dollars. X a. [1K] Calculate the cost of a pair of jeans at a production level of 3000 pairs. b. [3K] Determine the rate at which the cost is changing at a production level of 3000 pairs of jeans using any method. Show all work.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![7. At a small clothing company, the estimated cost function for producing a new line of jeans is C(x) =
x² - 7x + 30
where x is the number of pairs of jeans produced, in thousands. C(x) is measured in dollars.
X
a. [1K] Calculate the cost of a pair of jeans at a production level of 3000 pairs.
b. [3K] Determine the rate at which the cost is changing at a production level of 3000 pairs of jeans using any
method. Show all work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c17f486-c84a-43a3-ad8b-47e956b86c45%2F4b075278-77ec-48a3-8b6f-354838f9c8ed%2F07gn37e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. At a small clothing company, the estimated cost function for producing a new line of jeans is C(x) =
x² - 7x + 30
where x is the number of pairs of jeans produced, in thousands. C(x) is measured in dollars.
X
a. [1K] Calculate the cost of a pair of jeans at a production level of 3000 pairs.
b. [3K] Determine the rate at which the cost is changing at a production level of 3000 pairs of jeans using any
method. Show all work.
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