Zuke's Nukes is a retailer of organic microwavable entrees. They purchase frozen meals in batches from a supplier and then sell them to customers in their store. It costs $1.05 to store one frozen meal for a year. To reorder more batches of meals from their supplier, Zuke's Nukes pays a fixed fee of $2.25 per batch as well as $0.45 per meal. They sell 2000 meals each year.

Find how large their batch sizes should be for each of their orders from the supplier so that Zuke's Nukes can minimize their total inventory costs.