In: Operations Management
Lindsay Electronics, a small manufacturer of electronic research equipment, has approximately 7,400 items in its inventory and has hired Joan Blasco-Paul to manage its inventory. Joan has determined that 10% of the items in inventory are A items, 30% are B items, and 60% 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 62 working days), and all C items are counted semiannually (every 118 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).
As a first step, calculate the number of A category items given that they constitute 10% of the 7,400 items as follows. The number of A category items 7400*0.10 = 740 items
Since A category items are to be counted every 19 working days, the number of A category items to be counted per day is 740 / 19 = 38.94 per day or 39 per day
Next, calculate the number of B category items given that they constitute 30% of the 7,400 items as follows. The number of B category items 7400*0.30 = 2,220 items
Since B category items are to be counted every 62 working days, the number of B category items to be counted per day is 2220 / 62 = 35.80 per day or 36 per day
Next, calculate the number of C category items given that they constitute 60% of the 7,400 items as follows . The number of C category items 7400*0.60 = 4440 items
Since C category items are to be counted every 118 working days, the number of C category items to be counted per day is 4440 / 118 = 37.63 per day or 38 per day
Summarizing
Item class |
Number of items counted per day |
A |
39 |
B |
36 |
C |
38 |
Total |
113 |
Adding together, the total number of items to be counted every day is 113 items