Chapter 2, Problem 44RE

Business: minimizing cost. A rectangular box with a square base and a cover is to have a volume of $2500{\text{ft}}^3$. If the cost of material is $\$2/{\text{ft}}^2{\text{ for the bottom, \$3/ft}}^2$

$\text{for the}$

${\text{top, and \$1/ft}}^{\text{2}}$ for the sides, what should the dimensions of the box be in order to minimize the cost? [2.5]