Evaluate the total ending inventory – Operation Management

Evaluate the total ending inventory – Operation Management

Bart Incorporated manufactures rotary air fans and uses a production-planning horizon of one-half year. It allows for regular time, part time, overtime, and subcontracting production to meet the demand but no more than 12 units may be made by each of these methods. Both anticipation inventory and backorders are allowed. The beginning (or current) inventory is 20 units. Their first attempt at a sales and operations plan has resulted in the following.

 

1

2

3

4

5

6

Total

Inputs

Forecasted demand

100

125

120

80

75

70

570

Workforce Level

80

80

80

80

80

80

480

Part Time

12

12

12

12

12

12

72

Overtime

0

0

0

0

0

0

0

Subcontract

0

0

0

0

0

0

0

Derived

Beginning inventory

20

12

0

0

0

0

Ending inventory

12

0

0

0

0

2

Backlog

0

21

49

37

20

0

127

Calculated

Workforce level $5

400

400

400

400

400

400

$2,400

Part Time $6

72

72

72

72

72

72

$432

Overtime $7.5

0

0

0

0

0

0

$0

Subcontract $8

0

0

0

0

0

0

$0

Inventory holding $5

80

30

0

0

0

5

$115

Back orders $20

0

420

980

740

400

0

$2,540

 

Total

$552

$922

$1,452

$1,212

$872

$477

$5,487

Use the information in Table 14.1. According to the production plan, what will be the total ending inventory in the second month after the second month’s demand is satisfied?

-21 units

0 units

21 units

Greater than 25 units

Question 2

Bart Incorporated manufactures rotary air fans and uses a production-planning horizon of one-half year. It allows for regular time, part time, overtime, and subcontracting production to meet the demand but no more than 12 units may be made by each of these methods. Both anticipation inventory and backorders are allowed. The beginning (or current) inventory is 20 units. Their first attempt at a sales and operations plan has resulted in the following.

 

1

2

3

4

5

6

Total

Inputs

Forecasted demand

100

125

120

80

75

70

570

Workforce Level

80

80

80

80

80

80

480

Part Time

12

12

12

12

12

12

72

Overtime

0

0

0

0

0

0

0

Subcontract

0

0

0

0

0

0

0

Derived

Beginning inventory

20

12

0

0

0

0

Ending inventory

12

0

0

0

0

2

Backlog

0

21

49

37

20

0

127

Calculated

Workforce level $5

400

400

400

400

400

400

$2,400

Part Time $6

72

72

72

72

72

72

$432

Overtime $7.5

0

0

0

0

0

0

$0

Subcontract $8

0

0

0

0

0

0

$0

Inventory holding $5

80

30

0

0

0

5

$115

Back orders $20

0

420

980

740

400

0

$2,540

 

Total

$552

$922

$1,452

$1,212

$872

$477

$5,487

Use the information in Table 14.1. If the firm is committed to the regular production and overtime production as shown, what level of anticipation inventory would be needed at the start of the first month to result in an ending inventory of zero after month 6?

9 or fewer units

10 to 17 units

18 to 25 units

25 to 32 units

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