a rectangular dog pen is to be made so that one side is bounded by a large building. What are the dimensions of the pen with the max area that can be enclosed by 500 ft of fencing?
when I did it on my graphing calculator, my parabola has a minimuin not a max.
Help with the equation?
2007-01-30 14:42:56 · 4 answers · asked by cassandracorrao 3 in Science & Mathematics ➔ Mathematics
If the length of the sides perpendicular to the building is x ft, and the length of the side running along the building is y ft, the area is xy and the restriction on fencing means that 2x + y = 500.
So y = 500 - 2x and the area can be written in terms of x as
A = xy = x(500 - 2x) = 500x - 2x^2.
This should have a maximum at x = 125, with a corresponding value of y = 250 and an area of 31250 sq ft.
2007-01-30 14:48:33 · answer #1 · answered by Scarlet Manuka 7 · 0⤊ 0⤋
If it's supposed to be a max. Your parabola should be negative. With a positive coefficient in your equation, you have a minimum. Check that you didn't make a mistake.
2007-01-30 14:46:27 · answer #2 · answered by Anonymous · 0⤊ 0⤋
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2016-10-16 08:32:23 · answer #3 · answered by Erika 4 · 0⤊ 0⤋
want it to be a square, so 166 2/3 per side, gets 27777 square feet
2007-01-30 14:47:37 · answer #4 · answered by climberguy12 7 · 0⤊ 1⤋