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Example: Solved Problem
PERIOD 1 2 3 4 5 6 7 8 9 TOTAL
FORE 190 230 260 280 210 170 160 260 180 1940
OUTPUT
Regular 210 210 210 210 210 210 210 210 210 1890
Overtime 0
Subcontract. 20 20 10 50
Output-Fore. 40 0 -40 -70 0 40 50 -50 30
INVENTORY
Beg. Inventory 0 40 40 0 0 0 0 20 0
End. Inventory 40 40 0 0 0 0 20 0 0
Avg. Inventory 20 40 20 0 0 0 10 10 0 100
Backorder 0 0 0 70 70 30 0 30 0 200
UNIT COSTS: TOTAL COSTS:
Regular = $6.00 /unit Regular = 11,340 TOTAL = 14,240
Overtime = $9.00 /unit Overtime = 0
Subcon. = $8.00 /unit Subcon. = 400
Holding = $5.00 /unit/period Holding = 500
Backorder = $10.00 /unit/period Backorder = 2,000
Output-Fore=Reg+OT+Sub-Fore
BegInv(t)=EngInv(t-1)
EndInv(t)=BegInv(t)+(Output-Fore)-BO(t-1) if positive, or 0
AvgInv(t)=[BegInv(t)+EndInv(t)] ÷2
BO(t)=-BegInv(t)-(Output-Fore)+BO(t-1) if positive, or 0
Total Holding Cost =
Total AvgInv * Holding/unit/period