Thursday

October 2, 2014

October 2, 2014

Posted by **Julie** on Monday, November 28, 2011 at 1:44pm.

- Calculus AB/AP -
**Steve**, Monday, November 28, 2011 at 2:16pmIf we let the length be L and the height be H, then we have

4LH = 36

LH = 9

L = 9/H

The cost

C = 4L*8 + 4*4H*4

C = 32(9/H) + 64H

C = 288/H + 64H

dC/dH = 64 - 288/H^2

dC/dH = 0 when H = √2.5 = 2.12

so L = 4.24

C = 288/2.12 + 64*2.12 = $271.53

**Answer this Question**

**Related Questions**

calculus - A tank with a rectangular base and rectangular sides is to be open at...

math - A box with a rectangular base and rectangular sides is to be open at the ...

Calculus - Calculate the work (in joules) required to pump all of the water out ...

calculus - Calculate the work (in joules) required to pump all of the water out ...

Calculus/physics - Calculate the work (in joules) required to pump all of the ...

Calculus - A holding pen for fish is to be made in the form of a rectangular ...

Calc 1 (Optomization) - A rectangular storage container with an open top is to ...

Math - An open rectangular tank (no top) with volume 11 cubic meters has a ...

Calculus - A rectangular storage container with an open top is to have a volume ...

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