I need some help with this as soon as posible. I need to see the thought process
ID: 465756 • Letter: I
Question
I need some help with this as soon as posible. I need to see the thought process and tables of attempt to solve the problem. A detailed step by step explanation would be really appreciated.
Explanation / Answer
Average inventory increases if the closing inventory increases considering the formula .
Average Inventory = MAX ( 0, if ( clo.inv>=0,( open. inv.+clo.inv)/2,open.inv^2/ ( 2*(open.inv+clo.inv)))
Say for eg. opening inventory= 400 and closing inventory is 0 . Then Average inventory = (400 +0)/2= 200
if opening inventory= 400 and closing inventory is 20. then Average inventory = ( 400^2)/( 2*(400+20))= 210.
if opening inventory= 400 and closing inventory is 40. then Average inventory = ( 400^2)/( 2*(400+40))= 220.
So to minimize average inventory , closing balance is to be 0 . Inorder to keep closing balance to be 0, the ordered quantity = weekly demand .
Here customer demand is 200 units per day. So the 1400 units per week. So the ordered quantity is 1400 units.
Below table shows the ordered quantityat the begning of every week and average inventory
Week Opening Inventory Supplied units in beginning of Week Demand ( 200 units perday) Closing inv Average inventory per week Week 1 0 1400 1400 0 700 Week 2 0 1400 1400 0 700 Week 3 0 1400 1400 0 700 Week 4 0 1400 1400 0 700 Week 5 0 1400 1400 0 700 Week 6 0 1400 1400 0 700 Week 7 0 1400 1400 0 700 Week 8 0 1400 1400 0 700