An automobile company assembles cars in a plant and purchases batteries from a vendor in China. The average cost of each battery is $45. The automobile company takes ownership of the batteries when they arrive at the plant. It takes exactly 12 hours to make a car in the plant, and the plant assembles 200 cars per 8-hour shift (currently, the plant operates one shift per day). Each car uses one battery. The company holds, on average, 8,000 batteries in raw material inventory at the plant as a buffer. Assignment: Find the total number of batteries in the plant on average (in work-in-process at the plant and in raw material inventory). How much are these batteries worth? How many days of supply are held in raw material inventory on average?