Homework Help: Calc 1

Posted by Grant on Friday, February 24, 2012 at 12:08am.

A farmer with 700 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?

Calc 1 - Grant, Friday, February 24, 2012 at 12:55am
Answer is 12250
Calc 1 - Steve, Friday, February 24, 2012 at 10:49am
so, is there a question somewhere in there?
Calc 1 - MathMate, Friday, February 24, 2012 at 1:43pm
What is the largest possible total area of the four pens?

Let x=shorter side of the big rectangle.
and y=long side of the big rectangle

Fence required = 5x+2y=700 => y=350-5x/2

Total area of pens
A=xy
=x(350-5x/2)

To get the maximum area, we equate dA/dx=0

dA/dx = 350-5x = 0, or

x=70
y=350-5x/2 = 175

Maximum total area=xy=70*175=12250'
Calc 1 - Tina, Wednesday, April 17, 2013 at 1:06pm
Can someone draw the picture?
Calc 1 - Tina, Wednesday, April 17, 2013 at 1:11pm
Can someone draw the picture?

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