🚀 go-pugleaf

My project is to design of a new computer storage facility, and constrained
by zoning regulation to design a building with a rectangular floor,
rectangular walls, and a flat rectangular roof. Naturally we want an energy
efficient design that minimizes the heat loss of the building. The engineers
have determined that the north and south walls will lose heat at a rate of
15 BTU per square foot per day, the east and west at a rate of 7 BTU per
square foot per day, the roof at a rate of 4 BTU per square foot per day,
and the floor at a rate of 2 BTU per square foot per day. The height of the
building must be at least 10 feet, the length of each side must be at least
45 feet, and the volume must be exactly 50,000 cubic feet. I need a work out
of specification and plot of the domain of the heat loss function. Thanks