Question

In: Operations Management

SHOW ALL STEPS, FORMULAS, AND EXPLANATIONS Given the following list of items: a. Classify the items...

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

Solutions

Expert Solution

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


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