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1. A rectangular pen is built with one side against a barn. If 600 m of...

1. A rectangular pen is built with one side against a barn. If 600 m of fencing are used for the other three sides of the pen, complete the following to find the dimensions that maximize the area of the pen.

True or False: the objective function is the perimeter function, P=2x+y

2. Let A be the area of the rectangular pen and let x be the length of the sides perpendicular to the barn. Write the objective function in a form that does not include the length of the side parallel to the barn.

a. P= 2x+y

b. y=600-2x

c. A= x(600-2x)

3. After finding the objective function, what is the first step to take in order to find the length of the sides of the barn?

Math   Calculus   
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