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7. Consider an item with the following deterministic, time-varying pattern: 4 Week Demand 1 50 2 80 3 180 5 130 80 6 120 Week Demand 7 180 8 150 9 10 10 100 11 180 12 130 Suppose the pattern terminates at week 12. Other relevant parameters are: 1. Inventory carrying cost is 0.2 S/unit/week (note this the same as vr, where v is the cost per unit andr, is cost in dollars of carrying one dollar worth of inventory through one week). We assume that the carrying cost is incurred only on the units carried over from one week to the next. Fixed cost per replenishment is $50. Initial inventory is 60 units. Also, the lead time for the item is 2 weeks. 2. 3. 4. There is a scheduled receipt for the item in week 2 (i.e. at the beginning of week 2) of 75 units. Plan just the immediate replenishment (i.e. plan just one inventory cycle) using the lot-size rules listed below. Present your plan in a time-phased (i.e. MRP) table showing the immediate inventory cycle for each rule (no need to redraw the table if the current rule gives a Q that is the same as in an earlier table). Fixed lot size of (adjusted) EOQ Least unit cost Silver-meal heuristic (least cost per period) Fixed cycle time of (adjusted) TEOQ. Part-period balance 7. Consider an item with the following deterministic, time-varying pattern: 4 Week Demand 1 50 2 80 3 180 5 130 80 6 120 Week Demand 7 180 8 150 9 10 10 100 11 180 12 130 Suppose the pattern terminates at week 12. Other relevant parameters are: 1. Inventory carrying cost is 0.2 S/unit/week (note this the same as vr, where v is the cost per unit andr, is cost in dollars of carrying one dollar worth of inventory through one week). We assume that the carrying cost is incurred only on the units carried over from one week to the next. Fixed cost per replenishment is $50. Initial inventory is 60 units. Also, the lead time for the item is 2 weeks. 2. 3. 4. There is a scheduled receipt for the item in week 2 (i.e. at the beginning of week 2) of 75 units. Plan just the immediate replenishment (i.e. plan just one inventory cycle) using the lot-size rules listed below. Present your plan in a time-phased (i.e. MRP) table showing the immediate inventory cycle for each rule (no need to redraw the table if the current rule gives a Q that is the same as in an earlier table). Fixed lot size of (adjusted) EOQ Least unit cost Silver-meal heuristic (least cost per period) Fixed cycle time of (adjusted) TEOQ. Part-period balance

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