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a) A rectangular parking is to be fenced on three sides leaving the fourth side open to the street. If there is 800 meters of fencing available, determine the dimensions that would produce the maximum area.
b) Two numbers differ by 6. If their product is a minimum, determine these numbers. ( i guessed x and x-6 but i wasn't sure)
Show steps please.

2007-10-22 15:45:20 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

For part (a), look in your calculus book. I can almost guarantee that whatever book you have, this problem is worked out as an example. Only instead of being about a parking lot bordering a street, it will be in terms of a farmer who wants to enclose 3 sides of a rectangular field with fencing, while the fourth side of the field borders a straight riverbank.

This problem is "the classic" maximization problem. I find it amusing that it has now morphed into this new form: a sign of the urbanization of a nation that used to be primarily rural!

2007-10-22 16:05:36 · answer #1 · answered by Michael M 7 · 1 0

anticipate one side is x ft and the different 2 are y ft each and every: area = x*y x+2y = eighty 0

2016-10-04 09:47:10 · answer #2 · answered by ? 4 · 0 0

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