Wednesday

April 1, 2015

April 1, 2015

Posted by **Jessica** on Friday, April 8, 2011 at 6:22pm.

Values for dimension of the base are: ?

The height of the box is: ?

- CALC -
**bobpursley**, Friday, April 8, 2011 at 7:46pml=5w

costbase= lw*5

cost sides=3(2lh+2wh)

volume=lwh

25=lwh

or h= 25/wl

costtotal=5(lw*5)+3(2l*25/wl + 2w*25/wl)

costtotal=25lw+ 150/w+150/l

but l=5w

costtotal= 125w^2+150/w+30/w

take the derivative of cost.

costtotal'=0=250w-150/w^2-30/w^2

solve for w:

250w^3-180=0

w^3=180/250

w= cubroot 7.2

l= 4 cubroot 7.2

h= 25/(lw)

check my work.

- CALC -
**Anonymous**, Monday, January 2, 2012 at 2:55pmmoron

**Answer this Question**

**Related Questions**

calculus - An open box is to be constructed so that the length of the base is 4 ...

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

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

Calculus - A cardboard box of 32in^3 volume with a square base and open top is ...

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

PreCal - A square sheet of cardboard 18 inches is made into an open box (there ...

math - a woman wants to construct a box whose base length is twice the base ...

calculus - This is problem 16 Section 4.6 page 246. A closed box with square ...

Pre-Cal - A box with a square base and an open top is constructed from 5400 cm^2...

HELP!! OPTIMIZATION CALCULUS - A rectangular storage container with a lid is to...