Sam's Cat Hotel operates 52 weeks per year and 6 days per week. It purchases kitty litter for $17.60 per bag from its supplier. The demand for the kitty litter is 150 bags per week. The ordering cost is $46 per order. The unit holding cost is $4 per bag per year. The order lead time is 3 weeks. Assume EOQ model is valid in this problem. What is the length of the inventory cycle if the Hotel uses an order quantity of 750 units? Show a brief calculation and explanation.