Saturday

October 25, 2014

October 25, 2014

Posted by **Salman** on Friday, November 6, 2009 at 8:19am.

What is the shortest length of fence that the rancher can use?

- Calculus -
**Reiny**, Friday, November 6, 2009 at 8:41amI will set it up for you.

Let the length of the rectangle be y feet

let its width be x feet. The divider will then be x feet

So the length L

= 3x + 2y

but you know that xy = 500000

and y = 500000/x

then

L = 3x + 2(500000/x)

differentiate, set that equal to zero and solve for x

Put x back into L = ...

and you are done

- Calculus -
**lkl**, Thursday, November 29, 2012 at 12:01pm2345678

**Answer this Question**

**Related Questions**

Calculus - A rancher wants to fence in an area of 5189400 square feet in a ...

Calc - A rancher wants to fence in an area of 1500000 square feet in a ...

CALC - A rancher wants to fence in an area of 1500000 square feet in a ...

math - I've tried this many times, but I keep getting a really big answer. A ...

calculus - A rancher wants to fence in an area of 3000000 square feet in a ...

Calculus-Applied Optimization Quiz Problem - A rancher wants to fence in a ...

area and perimeter - a farmer wishes to build a fence around a rectangular field...

Calculus - A rancher wants to make an animal pen by fencing in an area of ...

math - A rectangular field is to be enclosed by a fence. Two fences parallel to ...

calculus (optimization) - a rectangular study area is to be enclosed by a fence ...