Question

Assume it is December 31, and CI has exactly $12,000 in inventory. CI has a forecast of $11,000 in sales for January and $9,000 in February. How many days of forecast sales can be met with the current inventory given there are 23 working days in January and 21 in February?

Answer 1

25 days of forecast sales can be met with the current inventory

Step-by-step explanation:

given data

CI inventory = $12,000

sale January = $11,000

sale February = $9000

sale in January = 23 days

sale in February = 21 days

solution

we get here first Inventory left at end of January that is

Inventory left at end of January = $12,000 - $11,000

Inventory left at end of January = $1000

and In February sale for 1 day will be

February sale for 1 day =
`(9000)/(21)`

February sale for 1 day = $428.57

now we consider x demand meet in no of days in February

so $1000 = $428.57 x

and x =
`(1000)/(428.57)`

x = 2.3 days

so Total number of day for caste sale met current inventory will be

no of days = 23 + 2.3

no of days = 25.3 = 25 days

so 25 days of forecast sales can be met with the current inventory