In: Operations Management
SHOW ALL STEPS, FORMULAS, AND EXPLANATIONS
Given the following list of items:
a. Classify the items as A, B, or C
b. Determine the economic order quantity for each item (round to the nearest whole unit)
Item |
Estimated Annual Demand |
Ordering Cost |
Holding Cost (%) |
Unit Price |
H4-010 |
20,000 |
55 |
25 |
4.5 |
H5-201 |
60,200 |
65 |
25 |
6 |
P6-400 |
9,800 |
85 |
35 |
30.5 |
P6-401 |
14,500 |
55 |
35 |
14 |
P7-100 |
6,250 |
55 |
35 |
11 |
P9-103 |
7,500 |
55 |
45 |
24 |
TS-300 |
21,000 |
45 |
30 |
47 |
TS-400 |
45,000 |
45 |
30 |
42 |
TS-041 |
800 |
45 |
30 |
22 |
V1-001 |
33,100 |
30 |
40 |
6 |
a) Item classification into A,B and C classes can be done based on the value that the items contribute to the overall value all the items.
Value of Item i = Estimated Annual Demand * Unit Price
Once the items are arranged in a descending order in terms of value, the items which are contributing to around 80% value are grouped under A class.
The items that are contributing to around 15 % (80-95 % cumulative) are grouped under B class.
The items that are contributing to around 5 %(95-100 % cumulative) are grouped under C class.
Economic Order Quantity (EOQ) = SQRT(2*D*S/H) where D = Annual Demand, S = Ordering Cost, H = Holding cost = % Holding cost * Unit Price.
Below is the calculation table with grouping based on the cumulative percentages, EOQ based on the formula -
Item |
Estimated Annual Demand |
Ordering Cost |
Holding Cost (%) |
Unit Price |
Value of the product annual quantity |
%Contribution |
%Cumulative |
Class |
EOQ = SQRT(2*D*S/H) |
TS-400 |
45,000 |
45 |
30 |
42 |
1890000 |
44.00 |
44.00 |
A |
567 |
TS-300 |
21,000 |
45 |
30 |
47 |
987000 |
22.98 |
66.98 |
A |
366 |
H5-201 |
60,200 |
65 |
25 |
6 |
361200 |
8.41 |
75.39 |
A |
2284 |
P6-400 |
9,800 |
85 |
35 |
30.5 |
298900 |
6.96 |
82.35 |
A |
395 |
P6-401 |
14,500 |
55 |
35 |
14 |
203000 |
4.73 |
87.08 |
B |
571 |
V1-001 |
33,100 |
30 |
40 |
6 |
198600 |
4.62 |
91.70 |
B |
910 |
P9-103 |
7,500 |
55 |
45 |
24 |
180000 |
4.19 |
95.89 |
B |
276 |
H4-010 |
20,000 |
55 |
25 |
4.5 |
90000 |
2.10 |
97.99 |
C |
1398 |
P7-100 |
6,250 |
55 |
35 |
11 |
68750 |
1.60 |
99.59 |
C |
423 |
TS-041 |
800 |
45 |
30 |
22 |
17600 |
0.41 |
100.00 |
C |
104 |
Sum |
4295050 |
100.00 |