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Calculus/Differential Calculus
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Maximizing Area Of A Subdivided Pen

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Eric has 1,000 feet of fencing to enclose a rectangular pen that is divided into four equal-sized stalls by three interior fences parallel to one of the sides.

What overall dimensions of the pen will maximize its total area?

A

100 feet by 250 feet

B

50 feet by 250 feet

C

250 feet by 250 feet

D

83.3 feet by 50 feet

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