Groundz Coffee Shop uses $100$ pounds of a specialty tea weekly; Each pound costs $$50.$ Carrying costs are $$5$ per pound per week because space is very scarce. It costs the firm $$100$ to prepare an order. Assume the basic EOQ model applies. Assume $50$ weeks per year.

How many days will there be between orders $($assume $350$ operating days in a year$)$ if Groundz practices EOQ behavior?