Asked by DJ
A farmer wants to fence off a rectangular field of area 15000 square feet using barbed wire fencing. SInce the opposite of the road is a corn-field, he wants a two-strand fence along the road, and one strand on each of the other three sides. What are the dimensions of the field which minimize the amount of fence used?
Answers
Answered by
Steve
if the 2-strand dimension is x, then we have
f(x) = 2x + x + 2(15000/x)
df/dx = 3 - 30000/x^2
min fence when df/dx = 0, at x = 100
so, the field is 100x150
as usual, the fencing is divided equally among the dimensions.
**
f(x) = fencing(x) !
f(x) = 2x + x + 2(15000/x)
df/dx = 3 - 30000/x^2
min fence when df/dx = 0, at x = 100
so, the field is 100x150
as usual, the fencing is divided equally among the dimensions.
**
f(x) = fencing(x) !
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.