Last year, a plant had an annual demand of 120,000 cases of wine. The cases are processed in batches throughout the year. Each batch process costs $3200 to set up, and storage costs for each batch are $5 based on the average number of cases of wine being stored.

This year, due to rising costs and more demand on wine, 140,000 cases are demanded, each process costs $3500 and storage costs have increased to $6, still based on the average number of cases of wine being stored.

Calculate the batch size that is required to minimize annual costs for last year and then for this year. Also find the number of processes that need to occur each year.