If A Farmer Has A 100 Feet Of Fence To Build A Rec

Anonymous

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If a farmer has a 100 feet of fence to build a rectangular pigpen,one side of which is along an existing, what dimensions should beused in order to maximize the area of the pen.

 

Answer No.1

Anonymous

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2x + y = 100, so y = 100 - 2x = 2(50 - x) area A = xy = 2x(50 - x) = 2(50x - x2) dA/dx = 0 = 2(50 - 2x) so x = 25 ft, y = 50 ft

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