Posted by **Mike** on Thursday, June 13, 2013 at 8:14pm.

The demand function for the Luminar desk lamp is given by the following function where x is the quantity demanded in thousands and p is the unit price in dollars.

p = f(x) = -0.1x2 - 0.3x + 39

(a) Find f '(x).

f '(x) =

(b) What is the rate of change of the unit price when the quantity demanded is 3000 units (x = 3)?

$ per 1000 lamps

What is the unit price at that level of demand?

$

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