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Mathematics 21 Online
OpenStudy (anonymous):

a farmer has 600 yards of fencing with which to build a rectangular corral having two internal dividers both parallel to tow sides of the corral. what is the maximum total area of such a corral?

OpenStudy (amistre64):

you have 2 setups to compare, and a picture would help define them

OpenStudy (amistre64):

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OpenStudy (amistre64):

4x + y = 600 and maximize A = xy

OpenStudy (amistre64):

if we let y = 600 - 4x, we can substitute it into area; then it amounts to seeing the A is a quadratic

OpenStudy (amistre64):

either find the vertex, or take a derivative ... your call

OpenStudy (anonymous):

O. Wow. That makes sense. Thank you. I was confused on how to represent the y and x in the area formula.

OpenStudy (amistre64):

:) pictures do help lol

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