Question: High Tech Inc. is a virtual store that stocks a variety of calculators in its warehouse. Customer orders are placed; the orders are picked and

High Tech Inc. is a virtual store that stocks a variety of calculators in its warehouse. Customer orders are placed; the orders are picked and packaged; and then orders are shipped to the customers. A fixed-order-quantity inventory control system (FQS) helps monitor and control these SKUs. The following information is for one of the calculators that High Tech stocks, sells, and ships.

Average demand 12.5 calculators per week

Lead time 3 weeks Order cost $20/order

Unit cost $8.00

Carrying charge rate 0.25

Number of weeks 52 weeks per year

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.

a.What are the economic order quantity?

b.What are the total annual order and inventory-holding costs for the EOQ?

c.What is the reorder point without safety stock?

d.What is the reorder point with safety stock?

e.Based on the previous information, should a fixed-order quantity be placed, and if so, for how many calculators?

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