Math

CalculusQ&A LibraryAssume 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 + 0.003x^{2}

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)

= $ Find answers to questions asked by student like you

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