The demand for yams is given by q = 5000 – 40p², where 9 is in pounds of yams and is the price of a pound of yams. (a) At a price of $5 per pound, what is the total revenue for the yam farmer? The total revenue for the yam farmer is $ (b) Write revenue as a function of price, and then find the price that maximizes revenue.
The demand for yams is given by q = 5000 – 40p², where 9 is in pounds of yams and is the price of a pound of yams. (a) At a price of $5 per pound, what is the total revenue for the yam farmer? The total revenue for the yam farmer is $ (b) Write revenue as a function of price, and then find the price that maximizes revenue.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:*Chapter 4, Section 4.6, Question 013
The demand for yams is given by 4 =
5000 – 40p², where 4 is in pounds of yams and P is the price of a pound of yams.
(a) At a price of 5 per pound, what is the total revenue for the yam farmer?
The total revenue for the yam farmer is
(b) Write revenue as a function of price, and then find the price that maximizes revenue.
R(p) =
Round your answer for price to two decimal places.
Revenue is maximized at price of
per pound.
(c) What quantity is sold at the price you found in part (b), and what is the total revenue?
Round your answers to two decimal places.
*2
The quantity sold is
and the total revenue is
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