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

Answer:

108

Step-by-step 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:-

$For\ item\ A\ = Inventory\ A\ Percentage \times \ Number\ of\ inventory\ items$

$= 10\% \times \ 7,000$

$= 0.1 \times \ 7,000$

$= \ 700$

$For\ item\ B\ = Inventory\ B\ Percentage \times \ Number\ of\ inventory\ items$

$= 35\% \times \ 7,000$

$= 0.35 \times\ 7,000$

$= \ 2,450$

$For\ item\ C\ = Inventory\ C\ Percentage \times \ Number\ of\ inventory\ items$

$= 55\% \times \ 7,000$

$= 0.55 \times\ 7,000$

$= 3,850$

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

$Items\ to\ be\ counted\ each\ day\ = \frac{Item\ A}{Working\ Days\ of\ A} \ + \frac{Item\ B}{Working\ Days\ of\ B} \ + \frac{Item\ C}{Working\ Days\ of\ C}$

$= \frac{700}{20} \ + \frac{2,450}{60}\ + \frac{3,850}{120}$

$= \ 35\ + \ 40.83\ + \ 32.08$

$= \ 107.92$

or

= 108

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