Question

Lindsay​ Electronics, a small manufacturer of electronic research​ equipment, has approximately 6 comma 800 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, 31​% are B​ items, and 59​% 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 124 working​ days). How many items need to be counted each​ day?

Answer 1

97.8 or 98 items

Step-by-step explanation:

A items:

= Percent of items in inventory × No. of items

= 0.1 × 6,800

= 680

B items:

= Percent of items in inventory × No. of items

= 0.31 × 6,800

= 2,108

C Items:

= Percent of items in inventory × No. of items

= 0.59 × 6,800

= 4,012

Units to be counted everyday:

`=(A\ items)/(workings\ days) + (B\ items)/(workings\ days) + (C\ items)/(workings\ days)`

`=(680)/(22) + (2,108)/(61) + (4,012)/(124)`

= 30.90 + 34.55 + 32.35

= 97.8 or 98 items