Sunday

November 23, 2014

November 23, 2014

Posted by **tttt** on Wednesday, April 2, 2014 at 8:36pm.

What should the dimension of the rectangle be in order to minimize the total cost of the fence?

- calculus -
**Reiny**, Wednesday, April 2, 2014 at 8:49pmlet the two equal width be x

let the single side by y

xy = 600

y = 600/x

cost = 20y + 30x

= 20(600/x) + 30x

d(cost)/dx = -12000/x^2 + 30

= 0 for a min of cost

30 = 12000/x^2

x^2 = 400

x = 20

the two equal sides are 20 yds each, and the long side is 600/20 = 30 yds.

**Answer this Question**

**Related Questions**

Math Calculus - Three sides of a fence and an existing wall form a rectangular ...

calculus help - Farmer Brown wants to fence in a rectangular plot in a large ...

Math (Quadratic Equations) - A field is bound on one side by a river. A farmer ...

calculus - A 384 square meter plot of land is to be enclosed by a fence and ...

preculculus - 27. A farmer wishes to enclose a pasture that is bordered on one ...

PreCalculus - Three sides of a fence and an existing wall form a rectangular ...

calculus - Farmer Jones has 210 meters of fence. She wishes to construct a ...

Calculus 1 - A rectangular field is enclosed by a fence and seperated into two ...

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

Algebra 2 - 2. a farmer has 400 meters of fence with which to enclose a portion ...