In the 1930s a prominent economist devised the following demand function for corn: 6,530,000 p = q1.3 where q is the number of bushels of corn that could be sold at p dollars per bushel in one year. Assume that at least 8,000 bushels of corn per year must be sold. (a) How much should farmers charge per bushel of corn to maximize annual revenue? HINT [See Example 3, and don't neglect endpoints.] (Round to the nearest cent.) p = $ (b) How much corn can farmers sell per year at that price? bushels per year (c) What will be the farmers' resulting revenue? (Round to the nearest cent.) per year

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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In the 1930s a prominent economist devised the following demand function for corn:
6,530,000
p =
q1.3
where q is the number of bushels of corn that could be sold at p dollars per bushel in one year. Assume that at least 8,000
bushels of corn per year must be sold.
(a) How much should farmers charge per bushel of corn to maximize annual revenue? HINT [See Example 3, and don't
neglect endpoints.] (Round to the nearest cent.)
p = $
(b) How much corn can farmers sell per year at that price?
q =
bushels per year
(c) What will be the farmers' resulting revenue? (Round to the nearest cent.)
per year
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Transcribed Image Text:In the 1930s a prominent economist devised the following demand function for corn: 6,530,000 p = q1.3 where q is the number of bushels of corn that could be sold at p dollars per bushel in one year. Assume that at least 8,000 bushels of corn per year must be sold. (a) How much should farmers charge per bushel of corn to maximize annual revenue? HINT [See Example 3, and don't neglect endpoints.] (Round to the nearest cent.) p = $ (b) How much corn can farmers sell per year at that price? q = bushels per year (c) What will be the farmers' resulting revenue? (Round to the nearest cent.) per year Need Help? Read It
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