Suppose three types of planes (Plane A, Plane B, and Plane C) use an airport. Plane A requires a 100-yard runway, Plane B requires a 150-yard runway, and Plane C requires a 400-yard runway. Suppose the cost (in dollars) of maintaining a runway for one year is equal to the length of the runway. Because Plane C lands at the airport, the airport will have a 400-yard runway. Suppose that each year only one plane of each type lands at the airport. Find the characteristic functions of the game. How much of the annual maintenance cost should be charged to each plane? (i)