The first day of basic training at the Air Force Academy is quite a sight, with $1500$ cadets being processed in$.$ This involves getting haircuts, uniforms, room assignments, and a mountain of paperwork. At the Uniform Fitting station, the worker takes the measurements on the cadet $($which takes about $2$ minutes$),$ then retrieves shirts, pants and hats in his$/$her size $($which takes about $2$ minutes$),$ waits for the cadet to try on the pants $($which takes about $1$ minute$)$ and then marks the pants for hemming $($which takes about $1$ minute$).$ The in$-$processing takes place from $8$ AM to $5$ PM with an hour off for lunch $(8$ hours$).$

$2$a$.$ How many cadets can a single worker fit for uniforms on that hectic day?

$2$b$.$ How many workers would be needed to fit $1601$ cadets in one day, if everyone works at full capacity?