Part B: $(4$ marks$)$

ABC Electronics, a small manufacturer of electronic research equipment, has approximately $7000$ items in has hired Eng. Mostafa to manage its inventory. Mostafa has determined that $16\%$ of the items in inventory are A $($every $34\%$ are $B$ items, and $50\%$ are $C$ items. He would like to set up a system in which all A items are counted monthly counted $20$ working days$),$ and all B items are counted quarterly $($every $60$ working days$),$ and all C items are counted semiannually $($every $120$ working days$).$

$($a$)$ How many items need to be counted each day?

$($b$)$ Let, on average, each A item needs $20$ minutes to be counted, each B item needs $15$ minutes, and each $C$ item needs $10$ minutes. If the company works one shift $8$ hours per day, how many labors are needed count per day?