# 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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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning