Suppose that the cost (in dollars) for a company to produce z pairs of a new line of jeans is C(z) = 3000 +41 +0.01z² +0.0002² (a) Use C(z) to determine the total cost to produce 120 pairs of jeans and the exact cost to produce just the 121 pair of jeans. Round each answer to the nearest cent. The total cost to produce 120 pairs of jeans is $ while the cost to produce the 121" pair of jeans is $

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use C(x) to determine the questions
Suppose that the cost (in dollars) for a company to produce a pairs of a new line of jeans is
C(z) = 3000 + 4z +0.012² +0.0002³
(a) Use C(z) to determine the total cost to produce 120 pairs of jeans and the exact cost to produce just the 121" pair of jeans. Round each
answer to the nearest cent.
The total cost to produce 120 pairs of jeans is s
(b) Find the marginal cost function.
C'(z) -
while the cost to produce the 121" pair of jeans is $
(c) If we want to use the marginal cost function to approximate the cost to produce the 121 pair of jeans (after the first 120 pairs have already
been produced), what number do we need to input into C'(z)?
We need to input z
(d) Use marginal cost to approximate the cost (to the nearest cent) to produce the 121" pair of jeans (after the first 120 pairs have already
been produced).
The cost to produce the 121" pair of jeans is approximately $ which is the marginal cost at a production level of 120 jeans.
Transcribed Image Text:Suppose that the cost (in dollars) for a company to produce a pairs of a new line of jeans is C(z) = 3000 + 4z +0.012² +0.0002³ (a) Use C(z) to determine the total cost to produce 120 pairs of jeans and the exact cost to produce just the 121" pair of jeans. Round each answer to the nearest cent. The total cost to produce 120 pairs of jeans is s (b) Find the marginal cost function. C'(z) - while the cost to produce the 121" pair of jeans is $ (c) If we want to use the marginal cost function to approximate the cost to produce the 121 pair of jeans (after the first 120 pairs have already been produced), what number do we need to input into C'(z)? We need to input z (d) Use marginal cost to approximate the cost (to the nearest cent) to produce the 121" pair of jeans (after the first 120 pairs have already been produced). The cost to produce the 121" pair of jeans is approximately $ which is the marginal cost at a production level of 120 jeans.
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