Question: please use same values and do it completly.please solve it according to the given method please. thanks. 2. The master production plan of a company

please use same values and do it completly.please solve it according to the given method please. thanks. please use same values and do it completly.please
please use same values and do it completly.please
2. The master production plan of a company has shown below: Period 1 2 3 4 5 6 7 8 9 (weeks) Gross 12 22 25 25 requirements Lead time Setup cost Holding cost Stockout cost 1 $200 $15 $ 12 Period Per order Per week Per week Develop an ordering plan and costs for: a. Lot-for-lot. b. EOQ c. POQ. Which plan has the lowest cost? 8 9 15 23 0 0 0 0 0 0 0 0 0 23 0 0 0 8 9 6 6 4 4 7 2 (a) For the Lot-for-lot rule, the MPS quantities will be exactly the same as that of the net requirements. So, there will be no carrying cost. Period 1 2 3 4 5 6 7 Totals Gross requirements 12 20 70 Projected ending inventory 0 Net requirement 0 12 0 20 0 15 70 MPS 0 12 0 20 0 15 0 0 23 70 MPS start 12 0 20 0 15 0 23 0 70 Total setup cost = 4 MPS start incidents $200 = $800 Total carrying cost = 0 units total ending inventory * $10 = $0 Total stockout cost = 0 units stock out $10 = $0 So, the total cost = 800+0+0 = $800 (b) The average demand per period, D = Total /9 = 70/9 = 7.778 units Setup cost, K = $200 Unit carrying cost, h = $10 So, the EOQ = (2.D.K/h)12 = (2*7.778*200/10)^0.5 = 17.6 i.e. 18 units. Period 1 2 3 4 5 6 7 Totals Gross requirements 12 20 15 23 70 Projected ending inventory 0 7 7 43 Net requirement 0 12 0 0 16 53 MPS 0 18 MPS start 18 0 18 0 Total setup cost = 4 MPS start incidents * $200 = $800 Total carrying cost = 43 units total ending inventory * $10 = $430 Total stockout cost = 0 units stock out * $10 = $0 So, the total cost = 800+430+0 = $1,230 (c) The optimal time between orders = EOQ / Average demand per period = 18/7.778 = 2.31 i.e. 2 periods. So, club the net requirements of the two consecutive periods to get the POQ- based policy. This will eventually reduce to lot-for-lot ordering only. Period 1 2 3 4 5 7 Totals Gross requirements 12 20 15 23 70 Projected ending inventory 0 0 0 0 0 0 Net requirement 0 0 0 23 MPS 20 0 70 MPS start 15 23 So, the total cost will be $800. 0 14 11 0 0 18 0 18 0 0 18 72 18 0 0 18 0 72 6 8 9 0 0 0 0 15 20 0 0 70 12 12 0 0 15 0 0 23 12 0 20 0 0 0 0 70

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