In: Operations Management
Lindsay Electronics, a small manufacturer of electronic research equipment, has approximately 7,000 items in its inventory and has hired Joan Blasco Paul to manage its inventory. Joan has determined that 11% of the items in inventory are A items, 37% are B items, and 52% are C items. She would like to set up a system in which all A items are counted monthly (every 19 working days), all B items are counted quarterly (every 61 working days), and all C items are counted semiannually (every 120 working days). How many items need to be counted each day?
The total number of items that need to be counted each day is _______ items (round your response to the nearest whole number)
Total no. of items = 7000; working days per month=19; per quarter=61; per half year=120
No. of A items = 11%=11%x7000=770; Frequency of count per half year=No. of working days per half year/Count of days after which item has to be counted=120/19=6.32; No. of counts for each item in half year=770*6.32=4866.4
No. of B items=37%=37%x7000=2590; Frequency of count per half year=No. of working days per half year/Count of days after which item has to be counted=120/61=1.97; No. of counts for each item in half year=2590*1.97=5095
No. of C items=52%=52%x7000=3640; Frequency of count per half year=No. of working days per half year/Count of days after which item has to be counted=120/120=1; No. of counts for each item in half year=3640*1=3640
Total count in half year=4866+5095+3640=13601; Total no. of items to be counted each day=13601/120=113items
The answer is 113 items