Parts Inventory: Reorder Points and Pack-Constrained Replenishment

Parts Inventory: Reorder Points and Pack-Constrained Replenishment

Original quantitative topic practice in English. All 24 questions are included in a shuffled order. Each question supplies its own data and model assumptions; use only those assumptions. Choose one answer. Practice target: 20/24, not an official examination pass mark. Keep full intermediate precision. These exercises cover the calculation scope in the title; they do not constitute a full Red Seal examination, trade qualification, site design or operating specification.
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Use this supplied deterministic policy: reorder point = daily demand × lead time + safety stock. Inventory position = usable on-hand + on-order − backorders. Reorder when position is at or below the reorder point, raising position to at least the target in whole packs. Daily demand is 8, lead time 5 days, safety stock 20, usable on-hand 40, on-order 10, backorders 8, target 150, pack size 12. No demand variation is assumed. Calculate the units of lead-time demand. Keep intermediate values unrounded; round the final answer to 4 decimal places if needed.