Tuesday

September 30, 2014

September 30, 2014

Posted by **Amy** on Saturday, February 12, 2011 at 9:35am.

- Calculus - dimensions of a box? -
**Reiny**, Saturday, February 12, 2011 at 9:46amlet each side of the base be x ft

let the height of the box be y ft

V= (x^2)(y) = 256

y = 256/x^2

form the cost equation ....

C = 2(.10)x^2 + 4(.05)xy

= .2x^2 + 2x(256/x^2)

= .2x^2 + 512/x

C' = .4x - 512/x^2 = 0 for min of C

I get x^3 = 1280

x = 10.86 and y = 2.17

check my arithmetic

**Answer this Question**

**Related Questions**

calculus - a rectangular box with a square bottom is to have a volume of 1000 ...

math - A rectangular box with a volume of 320 cubic units is to be constructed ...

calculus - A box of volume 72m^3 with square bottom and no top constructed out ...

calculus - A box is constructed out of two different types of metal. The metal ...

Calculus - A box is constructed out of two different types of metal. The metal ...

calculus - A box is constructed out of two different types of metal. The metal ...

math - A box with an open top has vertical sides, a square bottom, and a volume ...

Calc - A closed box with a square base is to be constructed so that its volume ...

calculus - A rectangular box is to be constructed from two different materials. ...

Algebra - A rectangular box with the volume 320 cu ft is built with a square ...