A pig rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). He has 620 feet of fencing available to complete the job. What is the largest possible total area of the four pens? A=2x + 5y
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!
I sense that you already have solved this problem. Ami I wrong?
I think you mean amount of wire used = 2x+5y
dA/dx=124-(4/5)x set to 0
pen will use 2(155) ft + 5(62) ft
x = width, which is used 5 times to make 4 pens.
(620 - 5x)/2 = length of pens
y = x(620 - 5x)/2
y = 310x - 5/2x²
The maximum area occurs at the vertex , which is at x = -b/(2a) = -310/-5 = 86 feet width
(620- 5x)/2 - (620 - 5(62))/2 = 310/2 = 155 = combined width of all 5 pens
62 x 155 = 9610 ft² <==ANSWER
i got it thanks
Exactlly, what I had
yes but i need greatest volume
Didn't I give you the greatest area 62 x 155? The area would of been 9610 sq ft.
What was the different asnwer?
You are confusing me, I took the derivative of A for area, set it to 0 and got 62 and 155. Using the restraints on the amount of wire and separate pen requirements. What was done different?
"pen will use 2(155) ft + 5(62) ft" you did + instead of x but its all in all right work,thanks
Glad you now understand how to solve these kind of problems. Good luck with your study efforts.
It looks like everything worked out fine.
Have a good day.