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Assume that it costs a company approximately C(x)=400,000+140x+0.003x2 dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to

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Assume that it costs a company approximately C(x)=400,000+140x+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 10,001 st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of prod (b) Find the average cost function C and the average cost to produce the first 10,000 smartp C(x)C(10,000)==$ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or fall The marginal cost from (a) is than the average cost from (b). This means that ie exact cost of producing the 10,001 st smartphone is $ Thus, there is a difference of $ first 10,000 smartphones. average cost is rising or falling at a production level of 10,000 smartphones. st from (b). This means that the average cost is at a production level of 10,000 smartphones

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