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 8​% of the items in inventory are A​ items, 34​% are B​ items, and 58​% 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 59 working​ days), and all C items are counted semiannually​ (every 121 working​ days). How many items need to be counted each​ day?

Answer 1

99 items

Step-by-step explanation:

Total number of items = 6,800

The number of items per type is:

`A= 6,800*0.08\\A=544\ items\\B= 6,800*0.34\\B=2,312\ items\\C= 6,800*0.58\\C=3,944\ items`

The number of items of each type counted per day is:

`n_A=(544)/(20)\\n_A=27.2\\n_B=(2312)/(59)\\n_B=39.2\\n_C=(3944)/(121) \\n_C= 32.6\\`

The total number of items counted per day is:

`n = n_A+n_B+n_C=27.2+39.2+32.6\\n=99\ items\ per\ day`