Pete's Paper Processing processes paper to sell to office supply stores. They sell several lines of product depending on the needs of the customer and they batch the production. The daily demand the X$225$ line of Pete's Paper is $15$ pallets. They estimate that each batch run cost $$30$ in setup and that they require approximately $3750$ pallets a year. They estimate that it cost $$2$ per pallet to hold paper in inventory for $1$ year. Their daily production rate is $35$ pallets. How large should each production run be $($how big is a batch to the nearest whole number$)?$