# . A rectangular box with a square base of length s and height y is to have a volume of 16 cubic feet. The cost of top and bottom material for the box is 25 cents per square foot, and the cost for the sides is 10 cents per square foot.

. A rectangular box with a square base of length s and height y is to have a volume of 16 cubic feet. The cost of top and bottom material for the box is 25 cents per square foot, and the cost for the sides is 10 cents per square foot.

A. Find an expression for the volume of the box in terms of s and y, and set this equal to 16.

B. Find an expression for the cost of the material used to make the box in terms of s and y.

C. Use your work from part a to express the cost of the box in terms of s only.

D. Find the dimensions of the box that will minimize the cost of materials used to make it