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(115) = 15400 and f'(115) = -70. (a) What does f(115) = 15400 tell you about the sales of skateboards? When the price of the skateboard is $ , then skateboards will be sold. (b) What does f'(115) = -70 tell you about the sales of skateboards? If the price increases from $115 to $116, the number of skateboards sold would ---Select---by roughly (c) If the total revenue, R, earned by the sale of skateboards can be expressed as R = pq, find R '(p). OR'(p) = q OR'(p) = p + q OR'(p) = f'(p) + f(p) OR'(p) = pf '(p) + f(p) OR'(p) = p'q (d) If the skateboards are currently selling for $115, what happens to the revenue if the price is increased to $116? The revenue ---Select--- by roughly $ skateboards.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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(115) = 15400 and f'(115) = -70.
(a) What does f(115) = 15400 tell you about the sales of skateboards?
When the price of the skateboard is $
then
1
skateboards will be sold.
(b) What does f'(115) = -70 tell you about the sales of skateboards?
If the price increases from $115 to $116, the number of skateboards sold would ---Select--- by roughly
R'(p) = p + q
OR'(p) = f'(p) + f(p)
OR '(p) = pf '(p) + f(p)
OR'(p) = p'q
(c) If the total revenue, R, earned by the sale of skateboards can be expressed as R = pq, find R '(p).
R'(p) = q
(d) If the skateboards are currently selling for $115, what happens to the revenue if the price is increased to $116?
The revenue ---Select--- by roughly $
skateboards.
Transcribed Image Text: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(115) = 15400 and f'(115) = -70. (a) What does f(115) = 15400 tell you about the sales of skateboards? When the price of the skateboard is $ then 1 skateboards will be sold. (b) What does f'(115) = -70 tell you about the sales of skateboards? If the price increases from $115 to $116, the number of skateboards sold would ---Select--- by roughly R'(p) = p + q OR'(p) = f'(p) + f(p) OR '(p) = pf '(p) + f(p) OR'(p) = p'q (c) If the total revenue, R, earned by the sale of skateboards can be expressed as R = pq, find R '(p). R'(p) = q (d) If the skateboards are currently selling for $115, what happens to the revenue if the price is increased to $116? The revenue ---Select--- by roughly $ skateboards.
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