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The Question: A rectangular pen is to be constructed from 1500 feet of fencing. One pair of opposite sides must be double thickness of fencing while the other pair of opposite sides must be triple thickness. Find the dimensions of the pen to maximize its area.

What I tried:

A = B*H
1500= 3B * 2H
H= (3B/2)-1500

A= 3B * 2(3B/2)-1500

I don't know what i did wrong, but once i enter it into the calculator to find the max (Note: im in precalc not calculus so we still use the calculator for this kind of problem) It doesn't give me a specific max which leads me to think that i did something wrong up above trying to find the function.

Can someone tell me what I did wrong?

2007-10-23 17:34:47 · 1 answers · asked by Anonymous in Science & Mathematics Mathematics

1 answers

It should be 1500 = 2*(2H + 3B)

The 2 in front is because it's pairs of sides that have to be doubled or tripled.

2007-10-23 17:41:43 · answer #1 · answered by Ron W 7 · 0 0

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