In: Operations Management
Lindsay Electronics, a small manufacturer of electronic research equipment, has approximately 7,200 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, 35% are B items, and 54% are C items. She would like to set up a system in which all A items are counted monthly (every 22 working days), all B items are counted quarterly (every 61 working days), and all C items are counted semiannually (every 122 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).
The total number of items in inventory = 7200
The first step is to calculate the total number of items that fall into each category.
Item A = 11% of 7200
= 0.11 * 7200
= 792
Item B = 35% of 7200
= 0.35 * 7200
= 2520
Item C = 54% of 7200
= 0.54 * 7200
= 3888
The next step is to calculate the average number of items in each category that need to be counted daily. This can be done by dividing the total number of items in each category by the number of days after which that category of items must be counted.
Item A = 792 / 22 = 36 items
Item B = 2520 / 61 = 41.31 items
Item C = 3888 / 122 = 31.87 items
The total number of items that need to be counted each day = 36 + 41.31 + 31.87
= 109.18 or 109 items approximately.