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anonymous
 5 years ago
A pig rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). He has 410 feet of fencing available to complete the job. What is the largest possible total area of the four pens?
if someone can help me find the constraint with this one i can do the rest... ??? im having trouble,,
anonymous
 5 years ago
A pig rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). He has 410 feet of fencing available to complete the job. What is the largest possible total area of the four pens? if someone can help me find the constraint with this one i can do the rest... ??? im having trouble,,

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radar
 5 years ago
Best ResponseYou've already chosen the best response.1Let x = the side that is parallel to the interior walls comprising the 4 pens in other words you will need 5x feet for this direction. Let y be the other dimension. So 2y + 5x = 410 ft Do you understand this line of reasoning?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0see i have this but for some reason ... its giving me a negative number for x or y when i solve for either of them, to be plugged back into the area formula...

radar
 5 years ago
Best ResponseYou've already chosen the best response.1Good lets see why you get that. I would like to express y in terms of x. 2y=4105x y=205(5/2)(x) Do you agree with that?

radar
 5 years ago
Best ResponseYou've already chosen the best response.1Area will equal x*y or substituting for y A=(x)(205(5/2)(x)) A=205x(5/2) (x) (x) or\[A=(205x(5/2)(x ^{2})\] Agree with that?

radar
 5 years ago
Best ResponseYou've already chosen the best response.1dA/dx = 2055x Let that = 0 for max/min 5x+205=0 5x=205 x=41 ft y=205(5/2)41=102.5 A=4202.5 sq ft fence used is 5*41 + 2 * 102.5=205+205=410 ft.

radar
 5 years ago
Best ResponseYou've already chosen the best response.1Do you have any questions?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i see where i went wrong... i kept the negative sign on the 5 when i divided it...

radar
 5 years ago
Best ResponseYou've already chosen the best response.1O.K, those signs can be very tricky. good luck in your studies
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