HomeMart.com is an online household goods retailer. It sells $35000$ units of a picture frame each year. Homemart.com purchases the picture frames directly from manufacturers at unit cost of $$2\mathrm{.}00$ and it orders $1535$ units each time. Homemart $.$com requires a cost of $$700$ each time it places an order with the manufacturer and its physical holding cost rate is $12\mathrm{.}5\%.$ At the current order what is the average number of weeks that picture frames remain in inventory? Assume $52$ weeks per year