Question: A scissors making factory is considering their current inventory control system for scissors. The information regarding the scissors is given below. Demand = 459 units/week
A scissors making factory is considering their current inventory control system for scissors. The information regarding the scissors is given below.
Demand = 459 units/week
Lead time = 5 weeks
Cost (price) of scissors = 62.50
Annual inventory holding cost rate = 4%
Order cost = 45 per order
Required service level = 95% (Z=1.645)
Standard deviation of weekly demand = 35
Number of weeks per year = 51
The company decides to use a fixed order quantity system with EOQ. What would be the reorder point and the economic order quantity to ensure therequired service level?
Explain how the system will operate, i.e. the ordering decision rule.
| EOQ = 2DC(o)/C(h) | ||
| C(o) = | 45 | |
| C(h) = | 2.50 | |
| D = | 23,409 | units per year |
| EOQ = | 918 | units will minimize the total cost |
| TC = 1/2*Q*C(h) + D/Q*C(o) | ||
| TC = | 2,295 | |
| Reorder point = Demand rate x Lead time | ||
| r = | 2,295 | units |
| L = t*L = | 78.26 | ||
| Safety Stock | |||
| r = L+ Z*L= | 2,424 | units |
To make sure the required service level (95%) is being met, each new order should now be placed as soon as the inventory level decreases to or below 2,424 units.
1. Are my calculations correct?
2. What is the ordering decision rule?
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