Question

Lindsay​ Electronics, a small manufacturer of electronic research​ equipment, has approximately 7 comma 000 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, 35​% are B​ items, and 55​% are C items. She would like to set up a system in which all A items are counted monthly​ (every 20 working​ days), all B items are counted quarterly​ (every 60 working​ days), and all C items are counted semiannually​ (every 120 working​ days). How many items need to be counted each​ day?

Answer 1

108

Explanation:

As per the given question the solution of items need to be counted each day is provided below:-

Here to reach the items needs to be counted each day first we need to find out the number of items which are as follows:-

`For\ item\ A\ = Inventory\ A\ Percentage * \ Number\ of\ inventory\ items`

`= 10\% * \ 7,000`

`= 0.1 * \ 7,000`

`= \ 700`

`For\ item\ B\ = Inventory\ B\ Percentage * \ Number\ of\ inventory\ items`

`= 35\% * \ 7,000`

`= 0.35 *\ 7,000`

`= \ 2,450`

`For\ item\ C\ = Inventory\ C\ Percentage * \ Number\ of\ inventory\ items`

`= 55\% * \ 7,000`

`= 0.55 *\ 7,000`

`= 3,850`

Now, we will find out the items to be counted each day

`Items\ to\ be\ counted\ each\ day\ = (Item\ A)/(Working\ Days\ of\ A) \ + (Item\ B)/(Working\ Days\ of\ B) \ + (Item\ C)/(Working\ Days\ of\ C)`

`= (700)/(20) \ + (2,450)/(60)\ + (3,850)/(120)`

`= \ 35\ + \ 40.83\ + \ 32.08`

`= \ 107.92`

or

= 108

So, we have calculated the items to be counted for each day by using the above formula.