A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1100yd of rope and floats. What dimensions of the rectangle will maximize the​ area? What is the maximum​ area? (Note that the shoreline is one side of the​ rectangle.)     Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective function for the area in terms of x.   A(x)=

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1100yd of rope and floats. What dimensions of the rectangle will maximize the​ area? What is the maximum​ area? (Note that the shoreline is one side of the​ rectangle.)
 
 
Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective function for the area in terms of x.
 
A(x)=
 
 
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