Suppose a farmer wants to fence off a rectangular field alongside a river with a total area of 15, 000 m². The three sides that do not border the river will cost $10 per meter while the side that borders the river will cost $20 per meter since it must be taller. What should the dimensions of the field be so as to minimize the total cost?
Suppose a farmer wants to fence off a rectangular field alongside a river with a total area of 15, 000 m². The three sides that do not border the river will cost $10 per meter while the side that borders the river will cost $20 per meter since it must be taller. What should the dimensions of the field be so as to minimize the total cost?
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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Transcribed Image Text:Suppose a farmer wants to fence off a rectangular field alongside a river with a total area of 15, 000 m?. The
three sides that do not border the river will cost $10 per meter while the side that borders the river will cost
$20 per meter since it must be taller. What should the dimensions of the field be so as to minimize the total
cost?
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