The demand function for the Luminar desk lamp is given by p = f(x) = −0.1x2 − 0.9x + 24 where x is the quantity demanded in thousands and p is the unit price in dollars. (a) Find f '(x). f '(x) =     (b)What is the rate of change of the unit price (in dollars per 1,000 lamps) when the quantity demanded is 6,000 units (x = 6)? $ per 1,000 lamps   What is the unit price (in dollars) at that level of demand?

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