SOLUTION: Good morning distinguished Tutors,i kindly need help with the following question-------"A mining company has 10 000 meters of fencing available .It wants to use the fencing to encl

Question 995507: Good morning distinguished Tutors,i kindly need help with the following question-------"A mining company has 10 000 meters of fencing available .It wants to use the fencing to enclose a rectangular field .One side of the field is bordered by a river .If no fencing is placed on the side next to the river ,what is the largest area that can be enclosed?"
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
"A mining company has 10 000 meters of fencing available .It wants to use the fencing to enclose a rectangular field .One side of the field is bordered by a river .If no fencing is placed on the side next to the river ,what is the largest area that can be enclosed?"
------
Sketch the picture
Let length of the rectangle = L
There are two widths; each is W
------
L + 2W = 10,000 meters
----
Area = L*W
-------
Substitute to get:
A = (10,000-2W)(W) = 10,000W - 2W^2
----
Form the derivative and solve for zero
A' = 10,000-4W
10,000-4W = 0
4W = 10,000
W = 2500 (width to get maximum Area)
L = 10,000- 2(2500) = 5000 (length to get maximum Area)
------------------
Cheers,
Stan H.
-----------------
RELATED QUESTIONS
Good morning distinguished Tutors,i need help with this question-- (a) Determine the... (answered by addingup)

Good day tutors, I need your help with this function How do I calculate the slope of (answered by ewatrrr,Edwin McCravy)

I just need this question checked. Here it is.... A mining company has determined that... (answered by stanbon)

Good Saturday morning Tutors. I need help to write the slope-intercept equation for the... (answered by nerdybill)

Good evening Tutors: I need help with the steps to solve this probability question The... (answered by stanbon)

Good evening ma'am or sir, please help on how to solve this problem involving expressions (answered by stanbon)

Good morning. Please help me solve this question. Approximately .25 of all glass bottles (answered by Cromlix)

i'm a beginner and asking the following question to the respected tutors : what is the... (answered by lwsshak3)

Good day tutors. I would really appreciate your help on this question. Create a graph of (answered by ikleyn,MathLover1)