Consider the batch process known as hot isostatic pressing (HIP). This operation is basically an oven where we put a number of parts in and apply heat and pressure for a period of time. This particular operation takes 12 hours to process the batch with a standard deviation of 2 hours. The maximum number of parts the HIP can hold is 40 and parts arrive individually to the area at a rate of 3 parts per hour. The arrival process is considered to be Poisson in nature. a) (5 points) Using the maximum batch size what would be the average time to form the batch in hours? b) (11 points)Using the maximum batch size what would be the average cycle time through the operation in hours if we exclude the time to form the batch that we found in a? c) (5 points)What is the minimum batch size for stability? Consider the batch process known as hot isostatic pressing (HIP). This operation is basically an oven where we put a number of parts in and apply heat and pressure for a period of time. This particular operation takes 12 hours to process the batch with a standard deviation of 2 hours. The maximum number of parts the HIP can hold is 40 and parts arrive individually to the area at a rate of 3 parts per hour. The arrival process is considered to be Poisson in nature. a) (5 points) Using the maximum batch size what would be the average time to form the batch in hours? b) (11 points)Using the maximum batch size what would be the average cycle time through the operation in hours if we exclude the time to form the batch that we found in a? c) (5 points)What is the minimum batch size for stability