question archive The new office supply discounter, Paper Clips, Etc

The new office supply discounter, Paper Clips, Etc

Subject:ManagementPrice:2.87 Bought7

The new office supply discounter, Paper Clips, Etc. (PCE, sells a certain type of ergonomically correct office chair which costs $300. The annual holding cost rate is 40%, annual demand is 900, and the order cost is $20 per order. The lead time is 4 days. Because demand is variable (standard deviation of daily demand is 2.4 chairs. PCE has decided to establish a customer service level of 90% The store is open 300 days per year

1. What is the optimal order quantity?

2. What is the safety stock?

3. What is the reorder point?

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Answer:

(a).

Ans:

Annual demand = 900

Ordering Cost = $20

Holding Cost = 0.40 * 300 = $120

Optimal Order Quantity = √((2 * Annual Demand * Ordering cost) / Holding Cost)

                                          = √ (( 2 * 900 * 20) / 120) = 17.32 = 17 chairs

(b)

Ans:

Safety Stock = Z * Standard Deviation * √ ( Lead Time)

                       = 1.28 * 2.4 * √ (4) = 6.14=6 chairs

Note: 90% of Z=1.28

(c)

Ans:

Daily Demand = 900 / 300 = 3 chairs

Reorder Point = (Daily Demand * Lead Time) + Safety stock

                           = (3 * 4) + 6 = 18 chairs

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