Question

Need help with optimization...
A closed rectangular box. THe length is twice its width and the box holds a volume of 40 cubic feet. THe wood material for the rectangular box is $4/sq.foot of the surface area. Find dimensions which will minimize the cost of teh box and what the min cost witll be.. Round to nearest thousandth and cost to nearest cent. So confused. please help me at least set this up if you can. Thanks.

Answer 1

start by drawing

Answer 2

What are l w h

Answer 3

So since the length is twice the width would it be 2x?

Answer 4

yea but if you add another variable its going to be confusing