Assume that it costs a company approximately C(x) = 400,000 + 140x + 0.003x? dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. 400,000 – 0.000009 Use it to estimate how fast the cost is increasing when x = 10,000. 2$ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. -Select--- at a production level of 10,000 smartphones. The marginal cost from (a) is --Select--- than the average cost from (b). This means that the average cost is
Assume that it costs a company approximately C(x) = 400,000 + 140x + 0.003x? dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. 400,000 – 0.000009 Use it to estimate how fast the cost is increasing when x = 10,000. 2$ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. -Select--- at a production level of 10,000 smartphones. The marginal cost from (a) is --Select--- than the average cost from (b). This means that the average cost is
Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter4: Extent (how Much) Decisions
Section: Chapter Questions
Problem 3MC
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![Assume that it costs a company approximately
C(x) = 400,000 + 140x + 0.003x?
dollars to manufacture x smartphones in an hour.
(a) Find the marginal cost function.
400,000 – 0.000009
Use it to estimate how fast the cost is increasing when x = 10,000.
2$
per smartphone
Compare this with the exact cost of producing the 10,001st smartphone.
The cost is increasing at a rate of $
per smartphone. The exact cost of producing the 10,001st smartphone is $
Thus, there is a difference of
$
(b) Find the average cost function C and the average cost to produce the first 10,000 smartphones.
C(x) =
C(10,000) = $
(c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones.
-Select--- at a production level of 10,000 smartphones.
The marginal cost from (a) is --Select--- than the average cost from (b). This means that the average cost is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb3ea843-8c29-4092-98d1-bb88a69287a3%2F9062b3fc-da25-49f8-84ff-10bd5a64f3b7%2Fpzdrw3n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume that it costs a company approximately
C(x) = 400,000 + 140x + 0.003x?
dollars to manufacture x smartphones in an hour.
(a) Find the marginal cost function.
400,000 – 0.000009
Use it to estimate how fast the cost is increasing when x = 10,000.
2$
per smartphone
Compare this with the exact cost of producing the 10,001st smartphone.
The cost is increasing at a rate of $
per smartphone. The exact cost of producing the 10,001st smartphone is $
Thus, there is a difference of
$
(b) Find the average cost function C and the average cost to produce the first 10,000 smartphones.
C(x) =
C(10,000) = $
(c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones.
-Select--- at a production level of 10,000 smartphones.
The marginal cost from (a) is --Select--- than the average cost from (b). This means that the average cost is
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