A pet shop expects to sell 1,125 kittens at a steady rate in the upcoming year. The owner will order kittens from the kitty-cat factory by placing several orders of the same size spaced equally throughout the year. Determine the economic order quantity that minimizes the inventory cost, and then find the minimum inventory cost if the ordering cost for each delivery is $83 and carrying costs, based on the average number of kittens in inventory amount to $249 per year for one kitten.