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) = $

Question
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)
= $ 

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