My attempt...
The volume of the box would be found by x2y.
So the cost function should be...
C(x) = .30x * .10y * .20z
or
C(x) = .30x2 * .10y * .20z
Then I would optimize... But I am having trouble determining if I have derived the correct equation...
Can anyone help?
Homework Statement
A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.30/square foot, the material for the sides costs $0.10/square foot, and the material for the top costs $0.20/square foot, determine the dimensions of the box that can be...