Question: The quantity, q , of a certain skateboard sold depends on the selling price, p . in dollars, so we write q = f(p) . You are given that f (140) = 15,000 and f’ (140) = -100.

1. What do f (140) = 15,000 and f’ (140) = -100 tell you about the sales of skateboards?

b) The total revenue, R , earned by the sale of skateboards is given by R = pq .

Find \[\frac{dR}{dp}\left| _{p=140} \right.\]

c) What is the sign of \[\frac{dR}{dp}\left| _{p=140} \right.\] ? If the skateboards are currently selling for $140, what happens to revenue if the price is increased to $141?

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