Howard$$ Electronics, a small manufacturer of electronic research$$ equipment, has approximately $6900$ items in its inventory and has hired Joan$$ Blasco$-$Paul to manage its inventory. Joan has determined that $12\%$ of the items in inventory are A$$ items,$32\%$ are B$$ items, and$56\%$ are C items. She would like to set up a system in which all A items are counted monthly$($every $21$ working$$ days$),$ all B items are counted quarterly$($every $62$ working$$ days$),$ and all C items are counted semiannually$($every $119$ working$$ days$).$ How many items need to be counted each$$ day?