A farmer wants to fence a rectangular corral adjacent to the side of a barn; however, she has only 200 ft of fencing and wants to enclose the largest possible area. See the figure.
a.If x represents the length of the corral and y represents the width, explain why the dimensions of the corral are subject to the constraint
b. The area of the corral is given by
c.Use the function from part (b) to find the dimensions of the corral that will yield the maximum area.
[Hint: Find the vertex of the function from part (b).]

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Chapter 11 Solutions
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