A farmer wants to build a rectangular fence that will enclose 120 square feet for his dog Miff. The two long sides of the fence are to be made of Styrofoam at a cost of $5 per foot. The two shorter sides are to be made of wire at a cost of $6 per foot. What are the dimensions of the fence that will minimize 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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A farmer wants to build a rectangular fence that will enclose 120 square feet for his dog Miff. The two long sides of the fence are to be made of Styrofoam at a cost of $5 per foot. The two shorter sides are to be made of wire at a cost of $6 per foot. What are the dimensions of the fence that will minimize cost?
Hint: Sketch the diagram corresponding with the above question in details.

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