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Average Demand 12.5 calculators per week Lead time 3 weeks Order cost $20/order Unit Cost $8.00 Carrying charge rate 0.25 Standard deviation of weekly demand

Average Demand 12.5 calculators per week
Lead time 3 weeks
Order cost $20/order
Unit Cost $8.00
Carrying charge rate 0.25
Standard deviation of weekly demand 3.75 calculators
SKU service level 95 percent
Current on-hand inventory 35 calculators
Scheduled Receipts 20 calculators
Backorders 2 calculators

Answer the following questions based on the above information:

  1. What is the economic order quantity?
  2. What are the total annual order and inventory-holding costs for the EOQ?
  3. What is the reorder point without safety stock?
  4. What is the reorder point with safety stock?
  5. Based on the previous information, should a fixed-order quantity be placed, and if so, for how many calculators?
    • Hint: Use the formula IP = OH + SR - BO

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