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[-/9 Points] DETAILS WANEFMACT Assume that it costs a company approximately C(x) = 400,000 + 160x + 0.003x2 dollars to manufacture x smartphones in an

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[-/9 Points] DETAILS WANEFMACT 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. 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 ) (10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones, The marginal cost from (a) is -Select- V |than the average cost from (b). This means that the average cost is - Select-. V | at a production level of 10,000 smartphones. Need Help? Road It Watch It Submit

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