The quantity, q, of a 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.
(a) 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

(c) What is the sign of

If the skateboards are currently selling for $140, what happens to revenue if the price is increased to $141?

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R = pq. Find dR dp p=140