Consider a company facing a demand pattern and costs as follow:

Month	Sequential Number	Requirements (units)
Jan	1	20
Feb	2	40
Mar	3	110
Apr	4	120
May	5	60
June	6	30
July	7	20
Aug	8	30
Sep	9	80
Oct	10	120
Nov	11	130
Dec	12	40
	Total	800

A = $25; r(per month) = $0.05 (carrying costs are very high in this industrial); v = $4

Using a "three-month" decision rule, the replenishment schedule and associated costs are as follows:

Month	1	2	3	4	5	6	7	8	9	10	11	12	Total
Starting Inventory	0	150	110	0	90	30	0	110	80	0	170	40
Replenishment	170	0	0	210	0	0	130	0	0	290	0	0	800
Requirements	20	40	110	120	60	30	20	30	80	120	130	40	800
Ending Inventory	150	110	0	90	30	0	110	80	0	170	40	0	780

Total replenishment costs = $100

Total carrying costs = $156

Total replenishment + carrying = $256

a). Construct a replenishment schedule and calculate the associated costs using the Fixed Economic Order Quantity method

b). Repeat using the Wagner-Whitin Algorithm

c). Repeat using the Silver-Meal Heuristic.

d). Repeat using the Least Unit Cost method

e). Repeat using the Part-period Balancing method

f). Repeat using the Periodic Order Quantity method