Math question.......need some help...

[emptywallet]

I took this course A LONG time ago, and don't remember much. I'm trying to help good ole buddy of mine with this, and I can't seem to get it. I come up with some crazy numbers. The class is business calc if anyone cares. Here's the problem.

"A land developer plans to fence a rectangular region and then divide it into two identical rectangular lots, by putting a fence down the middle. The fence for the outside boundary costs $5 per foot and the fence for th emiddle costs $2 per foot. If each lot contains 13,500 square feet, find the dimensions of each lot that will result in a minimum cost for the fence. "

 

[Dunk]

This is a trick question. There's no such thing as a Potato Tree.

 

[samoth]

This is a trick question. There's no such thing as a Potato Tree.

 

[emptywallet]

Lol.

 

[nimbus]

i think you want each fence to be 90x150, where 150 is the length of the shared side

 

[nimbus]

what i did was say xy=13500, and the total cost of everything = 5*4x+2*y+5*2y

i plugged the 1st eqn into the second, getting 20x+162000/x= cost

i took the derivative of the last eqn and set it equal to zero, then solved for x