Question

A manufacturing company keeps stock of replacement parts for its critical equipment. The lead time for...

A manufacturing company keeps stock of replacement parts for its critical equipment. The lead time for a rare $500 part is 2 months. The maintenance manager keeps close track of the inventory of these parts and places a new order whenever the stock reaches a certain threshold or reorder point. When they order, they place orders of 20 units at a time because the supplier has to make a special production run for it. From past history they estimate that the monthly demand for spares can be modeled as a Poisson distribution with a mean of 3.

a) Calculate the reorder point to achieve a fill rate of 95%.

b) Calculate the resulting average backorder level associated with this ordering policy.

c) Calculate the average monthly inventory cost assuming annual carrying cost of 24%.

Homework Answers

Answer #1
Given Information Data
Cost Price $                         500
Re-Order Quantity                               20
Average Monthly Demands                                 3
Annual Demand                               36
Average Lead Time 2 Months
Carrying Cost [in $]                             120
[24% * $500]
Assumption: It is assumed that Maximum and minimum demand / lead time are to be more than or less than average demand/ lead time given.
Level Demand Lead Time
Maximum 4 [Assumed] 3 Months [Assumed]
Average 3 [Given] 2 Months [Given]
Minimum 2 [Assumed] 1 Months [Assumed]
Solution to A.
Units
Re-Order Level                          11.40
[ Maximum Demand per day X Maximum lead time]*95%
Solution to B.
Minimum Level                            5.40
[Re-Order Level-(Average Demand per day X Average Lead time]
Maximum Level                          29.40
[Re-Order Level + Re- Order Quantity-(Minimum Demand per day X Minimum Lead time]
Average Back-Order Level
[Maximum Level+ Minimum Level]/2                          17.40
OR
[Minimum Level+1/2*Re-Order Quantity]                          15.40
Solution to C. $
Average Monthly Inventory Cost [in $]                          1,200
[Re-Order Quantity*1/2*Carrying cost per unit]
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