Question

After graduation, you decide to go into a partnership in an office supply store that has existed for a number of years. Walking through the store and stockrooms, you find a great discrepancy in service levels. Some spaces and bins for items are completely empty; others have supplies that are covered with dust and have obviously been there a long time. You decide to take on the project of establishing consistent levels of inventory to meet customer demands. Most of your supplies are purchased from just a few distributors that call on your store once every two weeks. You choose, as your first item for study, computer printer paper. You examine the sales records and purchase orders and find that demand for the past 12 months was 5,000 boxes. Using your calculator you sample some days' demands and estimate that the standard deviation of daily demand is 10 boxes. You also search out these figures:
Cost per box of paper: $11.
Desired service probability: 98 percent.
Store is open every day.
Salesperson visits every two weeks.
Delivery time following visit is three days.

Using your procedure, how many boxes of paper would be ordered if, on the day the salesperson calls, 60 boxes are on hand?

Answer 1

Answer:

257 boxes

Explanation:

The computation is given below;

Daily Demand would be

= 5000 ÷ 365

Standard Deviation = 10 boxes

Lead Time = 2 Weeks + 3 Days = 17 Days

Service Level = 0.98

Reorder Point = avg(d) × LT + z ×  σd × sqrt(LT)

= 5000 ÷ 365 × 17 + 2.05 × 10 × 170.5

= 317

So, the number of boxes should be ordered is  

= 317 - 60

= 257 boxes