Answer:
new cash conversion cycle 144 days
Explanation:
The cahs conversion cycle is the ime from the inventory is purchased and paid until it is saold and collected.
Days inventory outstanding + Day account outstanding - credit line
[tex]\frac{365}{Inventory TO} = $Days on Inventory[/tex]
Where:
[tex]\frac{COGS}{Average Inventory} = $Inventory Turnover[/tex]
COGS:
$50,735,000 x 85% = $ 43,124,750
average inventory (15,012,000 + 13,066)/2
[tex]\frac{43,124,750}{(15,012,000 + 13,066)/2} = 3.07[/tex]
Days invenotry Outstanding: 365 / 3.07 = 119
Then:
[tex]\frac{Sales}{Average A/R} = $A/R Turnover[/tex]
Sale $50,735,000
average A/R (10,008,000 + 8,062,000)/2
[tex]\frac{50,735,000}{ (10,008,000 + 8,062,000)/2} = 5.61[/tex]
Days sales outstanding: 365 / 5.61 = 64.99 = 65
Credit will go from 30 days to 40 days
119 + 65 - 40 = 144 days