Posted by **shawn** on Sunday, November 29, 2009 at 12:38pm.

A rectangular box with a square base and top is to be made to contain 1250 cubic feet. The material for the base costs 35 cents per square foot, for the top 15 cents per square foot, and for the sides 20 cents per square foot. Find the dimensions that will minimize the cost of the box.

- math -
**Mary**, Sunday, November 29, 2009 at 1:39pm
Your top and bottom, averaged, are more expensive than the sides. Top and bottom: 15+35=50/2 = 25cents per square foot. Two sides: 20+20=40/2=20cents per square foot. therefore, you would want as little area on the bases as possible. If you place one square foot each on the top and bottom, that leaves 1248 square feet for the sides. 1248/4 = 312 square feet per side. The sides are one foot (length of base) x 312. Therefore, your box would be 312x1x1. This would be (1 sq ft x 15 cents) + (1 sq ft x 35 cents) + 1248 sq ft x 20 cents)

- math -
**MathMate**, Sunday, November 29, 2009 at 4:47pm
See http://www.jiskha.com/display.cgi?id=1259529104

## Answer This Question

## Related Questions

- Calculus - A rectangular box with a square base and top is to be made to contain...
- calculus - a rectangular box is to have a square base and a volume of 20 ft ...
- Calculus - A rectangular box with square base (which is NOT necessarily a cube) ...
- Calculus - An open top box with a square base is to be made so that it holds 3 ...
- Math - A rectangular box is to have a square base and volume of 78 feet cubed. ...
- math - A rectangular box with a volume of 320 cubic units is to be constructed ...
- Calculus - A rectangular box is to have a square base and a volume of 20 ft3. If...
- Calculus - A holding pen for fish is to be made in the form of a rectangular ...
- Math - A rectangular box with a square base of length x and height h is to have ...
- Algebra - 4. A shipping crate has a square base with sides of length x feet, and...

More Related Questions