The weekly cost( in dollars and cents) of making x coffeemakers is given by C(x)=370+16x+0.2x^2. The weekly cost (in dollars and cents) of making ( x ) coffeemakers is given by ( C(x)=370+16 x+0.2 x^{2} ). Use the differential of cost ( (d C) ) to approximate the marginal cost (which is the derivative or cost of producing one more), if

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The weekly cost( in dollars and cents) of making x coffeemakers is given by C(x)=370+16x+0.2x^2.

$The weekly cost (in dollars and cents) of making $ x $ coffeemakers is given by $ C(x)=370+16 x+0.2 x^{2} $. Use the diff$

The weekly cost (in dollars and cents) of making $ x $ coffeemakers is given by $ C(x)=370+16 x+0.2 x^{2} $. Use the differential of cost $ (d C) $ to approximate the marginal cost (which is the derivative or cost of producing one more), if the weekly production increases from 30 to 32 coffeemakers. Then find the actual change in cost $ (\triangle C) $, and compare it to the differential, so see how well the differential approximated that change/ cost for one more. Notice that the differential of $ \mathrm{x} $ is $ \Delta x=d x=2 $ ). In other words, find then compare $ d C $ and $ \Delta C $.

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