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?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
This 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 = (180,000-2x)(x)
A = 180,000x -2x^2
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
I 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.
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.