QUESTION $4[20]$

You manage inventory for a retail store and have implemented the ABC classification method for cycle counting. Your store's inventory has been divided into three categories:

A $($high value, low volume$),$ B $($moderate value, moderate volume$),$ and C $($low value, high volume$).$

Category A items are counted once a week.

Category B items are counted once a month.

Category C items are counted once a quarter.

If your store has $1000$ items in Category A$,2000$ items in Category B$,$ and $5000$ items in Category C$,$ how many total cycle counts are performed in a year?