A factory can produce R rugs a month based on the function R(n) 4n2 – 7n +58, where n is the number of production lines that are operational. The number of production lines that are operational is determined 15 by n(x) + 20x, where x is the number of managers overseeing a production line. What are the units when calculating the rate at which the rug production is changing when there are 4 managers to oversee the production lines?
A factory can produce R rugs a month based on the function R(n) 4n2 – 7n +58, where n is the number of production lines that are operational. The number of production lines that are operational is determined 15 by n(x) + 20x, where x is the number of managers overseeing a production line. What are the units when calculating the rate at which the rug production is changing when there are 4 managers to oversee the production lines?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![A factory can produce \( R \) rugs a month based on the function
\[ R(n) = 4n^2 - 7n + 58 \]
where \( n \) is the number of production lines that are operational. The number of production lines that are operational is determined by
\[ n(x) = \frac{15}{x} + 20x \]
where \( x \) is the number of managers overseeing a production line.
**Question:**
What are the units when calculating the rate at which the rug production is changing when there are 4 managers to oversee the production lines?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c42d3d3-c669-4ebd-a92e-b9a728000a05%2F3e6cc8b4-ba88-44c3-942b-d0c68d6f36f2%2Fnaxjg3j_processed.png&w=3840&q=75)
Transcribed Image Text:A factory can produce \( R \) rugs a month based on the function
\[ R(n) = 4n^2 - 7n + 58 \]
where \( n \) is the number of production lines that are operational. The number of production lines that are operational is determined by
\[ n(x) = \frac{15}{x} + 20x \]
where \( x \) is the number of managers overseeing a production line.
**Question:**
What are the units when calculating the rate at which the rug production is changing when there are 4 managers to oversee the production lines?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Consider the given function of number of rugs:
Where,
Rate change in rugs is derivative of the R function:
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