A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 875.00 cubic feet. The cost of wall paint is $0.08 per square foot and the cost of ceiling paint is $0.14 per square foot. Find the room dimensions that result in a minimum cost for the paint.

sides ________ ft.

height _________ ft.

What is the minimum cost for the paint? (Round your answer to two decimal places.)

$ _________