Final answer:
Heavey Compressors should be using approximately 14 containers to meet the demand and hold the necessary safety stock.
Step-by-step explanation:
To determine the number of containers Heavey Compressors should be using, we first need to calculate the total lead time, which includes the time it takes for a container to travel from one work center to the next and back. In this case, it takes about 6 hours to round-trip a container. The demand is 100 parts per eight-hour day, so we can calculate the daily demand as 100/8 = 12.5 parts per hour. Next, we need to factor in the safety stock, which is 15% of the demand. The safety stock is calculated as 12.5 * 0.15 = 1.875 parts per hour. Adding the safety stock to the daily demand, we get 12.5 + 1.875 = 14.375 parts per hour.
Since each container holds 8 parts, we can divide the total demand by the number of parts per container to get the number of containers needed per hour. So, 14.375 / 8 = 1.796875 containers per hour. Since we're calculating for a full eight-hour day, we multiply the containers per hour by 8, resulting in a total of 1.796875 * 8 = 14.375 containers per day.
Therefore, Heavey Compressors should be using approximately 14 containers to meet the demand and hold the necessary safety stock.