Question

Optimization problem

Answer 1

Oh boy :)

Answer 2

let width be x and hight be y

x+2x+2y=108

3x+2y=108
2y=108-3x
y=54-(3/2)x

Volume is x^2 y

v= x^2(54-(3/2)x)
v=54x^2-(3/2)x^3

v'=108x-(9/2)x^2
x(108-(9/2)x^2=0
x=0 and x=24 <--critical points?