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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