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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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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.
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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