Variable name Avg. annual demand Avg. daily demand Std. deviation of demand Variable Drear 31,025 units per year 85 units per day 20 units per day DDay Opday Unit purchase cost Inventory holding cost factor Order cost 42 $ per unit 24% per year 225 $ per order units per order 12 days k Economic order quantity Q Q.3a Mean lead time Std. deviation of lead time OL 4 days Mean demand during lead time DL units units per lead time type 1 service level Q.3b Std. deviation of lead time demand ODL In-stock probability during lead time No. of std. deviations corresponding to a Safety stock Reorder point SS units R units Q.3a units Expected number of units out of stock per cycle Fill rate n_R type 2 service level 3. Consider the demand, lead time, and cost information provided in the worksheet. At its last retreat, the Executive Committee determined that 95% of consumer demand should be filled from on-hand inventory. a) Which inventory control parameter values (reorder point and order quantity) will enable the firm to meet this customer service objective while minimizing costs? b) What will be the in-stock probability (type 1 service level) in this case?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Variable name
Avg. annual demand
Avg. daily demand
Variable
Dyear
31,025 units per year
85 units per day
20 units per day
Dpay
Std. deviation of demand
Opday
42 $ per unit
24% per year
225 $ per order
units per order
12 days
C
Unit purchase cost
Inventory holding cost factor
Order cost
Economic order quantity
k
Q
Q.3a
Mean lead time
Std. deviation of lead time
OL
4 days
Mean demand during lead time
DL
units
Std. deviation of lead time demand
ODL
units per lead time
type 1 service level Q.3b
In-stock probability during lead time
No. of std. deviations corresponding to a
Safety stock
Reorder point
a
SS
units
|units
Q.3a
Expected number of units out of stock per cycle
n_R
units
Fill rate
type 2 service level
3. Consider the demand, lead time, and cost information provided in the worksheet. At its last retreat, the
Executive Committee determined that 95% of consumer demand should be filled from on-hand inventory.
a) Which inventory control parameter values (reorder point and order quantity) will enable the firm to meet
this customer service objective while minimizing costs?
b) What will be the in-stock probability (type 1 service level) in this case?
Transcribed Image Text:Variable name Avg. annual demand Avg. daily demand Variable Dyear 31,025 units per year 85 units per day 20 units per day Dpay Std. deviation of demand Opday 42 $ per unit 24% per year 225 $ per order units per order 12 days C Unit purchase cost Inventory holding cost factor Order cost Economic order quantity k Q Q.3a Mean lead time Std. deviation of lead time OL 4 days Mean demand during lead time DL units Std. deviation of lead time demand ODL units per lead time type 1 service level Q.3b In-stock probability during lead time No. of std. deviations corresponding to a Safety stock Reorder point a SS units |units Q.3a Expected number of units out of stock per cycle n_R units Fill rate type 2 service level 3. Consider the demand, lead time, and cost information provided in the worksheet. At its last retreat, the Executive Committee determined that 95% of consumer demand should be filled from on-hand inventory. a) Which inventory control parameter values (reorder point and order quantity) will enable the firm to meet this customer service objective while minimizing costs? b) What will be the in-stock probability (type 1 service level) in this case?
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