BMW has its engine plant in Leipzig and its motorcycle assembly plant in Munich. Engines are transported between the two plants using trucks, with each trip costing $1,000. The motorcycle assembly plant assembles and sells 300 motorcycles each calendar day (365 days per year); each engine costs $500; and BMW incurs a holding cost of 20% per year. How many engines should BMW load onto each truck? What is the annual average inventory of engines at BMW?