Suppose a Home Improvement Contractor Is Painting the Walls and Ceiling

Multiple Choice

Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 640 cubic feet. The cost of wall paint is $0.076 per Square foot and the cost of ceiling paint is $0.19 per square foot. Let x, y, and z be the length, width, And height of a rectangular room respectively. Find the room dimensions that result in a minimum Cost for the paint. Round your answers to two decimal places.

A) $x = y = 8.00$ and $z = 10.00$
B) $x = y = 10.00$ and $z = 12.80$
C) $y = z = 10.00$ and $x = 12.80$
D) $x = z = 8.00$ and $y = 10.00$
E) $y = z = 8.00$ and $x = 10.00$