Solar Tech Innovations employs an advanced method to transform silicon wafers into compact solar panels. These cost$-$effective and efficient panels are particularly designed for low$-$energy, portable electronic devices. In the previous year, Solar Tech Innovations had an inventory turnover rate of $4\mathrm{.}5$ times with a cost of goods sold totaling $$2\mathrm{.}5$ million. Given a standard business year of $52$ weeks:

a$.$ Calculate the average inventory from last year in weeks of supply. $($given that Inventory turnover Annual sales at cost