I want to build a rectangular fence against my house so I can
foster three
dogs (that don’t get along). I won’t need a fence against my house,
but I will need
two dividers of the same fencing material perpendicular to my house
so that my fence
encloses 3 regions each holding the same area. What is the maximum
area my entire
fence can enclose with a budget of $2400 if the fence costs $2/ft?
(Use calculus and
justify your answer)
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