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anonymous
 5 years ago
Farmer Steve plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180000 square meters in order to prove enough grass for the herd. What dimensions would require the least amount of fencing if no fencing is needed along the river?
anonymous
 5 years ago
Farmer Steve plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180000 square meters in order to prove enough grass for the herd. What dimensions would require the least amount of fencing if no fencing is needed along the river?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This is another optimization problem, there were a few similar ones this morning. 180,000 = 2x + y, where y = length and x = width. The second length is bordered by the river, so it doesn't take fencing. A = x * y y = 180,000  2x A = (180,0002x)(x) A = 180,000x 2x^2 Differentiate A' = 180,000  4x Set A' = 0 0 = 180,000  4x 4x = 180,000 x = 180,000/4 = 45,000 y = 180,000  2x = 180,000  90,000 y = 90,000 x = 45,000

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I am not good at all with optimization promblems. When the material is taught it seems like it should come very easy but doesn't. Practice makes perfect! Thank you so much for all of your help.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You're welcome. Optimization problems have several different kinds that all work the same way mathematically but require insight into setting them up. I would suggest looking in your book's exercises for the various setups and try solving them independently before the test.
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