Question

Asked Oct 3, 2019

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The demand function for the Luminar desk lamp is given by

p = f(x) = −0.1x^{2} − 0.3x + 32

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 (in dollars per 1,000 lamps) when the quantity demanded is 4,000 units (*x* = 4)?

$ per 1,000 lamps

What is the unit price (in dollars) at that level of demand?

Step 1

Consider the given demand function for the Luminar desk lamp,

Step 2

Step 3

...

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