A plastic injection molding plant will be built to produce 6 million molded parts per year. The plant will run three 8hour shifts per day, five days per week, 50 weeks per year. For planning purposes, the average batch size = 6000 moldings, average changeover time between batches = 6 hrs, and average molding cycle time per part = 30 sec. Assume scrap rate = 2 percent, and average uptime proportion (reliability) per molding machine = 97 %, which applies to both run time and changeover time. How many molding machines are required in the new plant?