ne that it costs a company approximately C(x) = 400,000 + 160x + 0.002x2 s to manufacture x smartphones in an hour. Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $4 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 $ Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) = C(10,000) = $ Using your answers to (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. The marginal cost from (a) is --Select-- v than the average cost from (b). This means that the average cost is --Select-- v at a production level of 10, d Help? Watch It

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter8: Cost Analysis
Section: Chapter Questions
Problem 9E
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Question
Assume that it costs a company approximately
C(x) = 400,000 + 160x + 0.002x2
dollars to manufacture x smartphones in an hour.
(a) Find the marginal cost function.
Use it to estimate how fast the cost is increasing when x = 10,000.
$
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.
The marginal cost from (a) is --Select--- v than the average cost from (b). This means that the average cost is ---Select--- v at a production level of 10,000 smartphones.
Need Help?
Watch It
Transcribed Image Text:Assume that it costs a company approximately C(x) = 400,000 + 160x + 0.002x2 dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $ 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. The marginal cost from (a) is --Select--- v than the average cost from (b). This means that the average cost is ---Select--- v at a production level of 10,000 smartphones. Need Help? Watch It
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