Luke is going to repaint both sides of the door of his room. The door is 36 inches long by 80 inches high. His options at the paint store are below. 1 gallon of paint costs $10 and covers 4,400 square inches of area. 12 gallon of paint costs $7 and covers 2,200 square inches of area. If the door requires 2 coats of paint, what is the minimum cost of painting the door of Luke's room?