Assume that it costs a company approximately. C(x) = 400,000 + 160x + 0.003x2 dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. 160+.006x 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) = $
Assume that it costs a company approximately. C(x) = 400,000 + 160x + 0.003x2 dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. 160+.006x 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) = $
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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Assume that it costs a company approximately.
C(x) = 400,000 + 160x + 0.003x2
dollars to manufacture x smartphones in an hour.
(a) Find the marginal cost function.
160+.006x
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)
= $ Expert Solution
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