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?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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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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