Question: The demand function for the Luminar desk lamp is given by p = f ( x ) =0.1 x 2 0.2 x +22 where x

The demand function for the Luminar desk lamp is given by

p=f(x) =0.1x20.2x+22

wherexis the quantity demanded in thousands andpis the unit price in dollars.

(a) Findf'(x).

(b) What is the rate of change of the unit price (in dollars per 1,000 lamps) when the quantity demanded is12,000units(x=12)?

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