What is the rate of change of the unit price when the


Question: DEMAND FUNCTIONS The demand function for the Luminar desk lamp is given by

p = f(x) = -0.1x2 - 0.4x + 35

where x is the quantity demanded in thousands and p is the unit price in dollars.

a. Find f'(x).

b. What is the rate of change of the unit price when the quantity demanded is 10,000 units (x = 10)? What is the unit price at that level of demand?

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