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Problems/Solutions
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Problems

1. Here are the parts list and the lead time for product TT.

Component/Subassembly   Number Required  Lead time

Product TT

 

 

Subassembly A

21 week
Component B 1 2 weeks
Subassembly A   
Component B 3 2 weeks
Component C 1 1 week
Component D2 1 week

The master schedule for product TT is:

Week Number123456
Quantity000255075
  1. Construct the product-structure tree for product TT.
  2. Determine the quantity of each subassembly and component that will be required.
  3. Construct the time-phased plan for each subassembly and component in the style of Figure 15-9 in your textbook; four of them will be required. See next page.

2. Use the data in Problem 1 to solve this problem. During the fourth week, an equipment breakdown delayed the production of component D for one week. Thus, the 300 units which were to go into production in the fourth week and be received in the fifth week must be postponed to the fifth and sixth weeks.

  1. Construct a new master schedule for the fourth and subsequent weeks.
  2. Construct new time-phased plans for each subassembly and component for the fourth and subsequent weeks.

3. Here is the usage schedule for component K.

Period 1 2 3 4 5 6
Quantity 60 50 80 70 30 50

It costs $500 to set up the equipment to produce K. and it costs $2 to store one unit of K for one period.

  1. What is the cumulative demand schedule?
  2. What is the economic part-period (EPP)?
  3. What is the lot size (based on the EPP)?

Master

Week

1

2

3

4

5

6

7

8

Schedule

Quantity

        
 

1

2

3

4

5

6

7

8

Gross requirements

        

Scheduled receipts

        

Projected on hand

        

Net requirements

        

Planned-order receipts

        

Planned-order releases

        
 

1

2

3

4

5

6

7

8

Gross requirements

        

Scheduled receipts

        

Projected on hand

        

Net requirements

        

Planned-order receipts

        

Planned-order releases

        
 

1

2

3

4

5

6

7

8

Gross requirements

        

Scheduled receipts

        

Projected on hand

        

Net requirements

        

Planned-order receipts

        

Planned-order releases

        
 

1

2

3

4

5

6

7

8v

Gross requirements

        

Scheduled receipts

        

Projected on hand

        

Net requirements

        

Planned-order receipts

        

Planned-order releases

        

 

Solutions

 

1. a.

TT

  

A(2)

    

B

 
  
   

B(3)

 

C

 

D(2)

 

b. The master schedule calls for 150 units of product TT.

Subassembly/component

Quantity

 

Product TT

Subassembly A

Component B

Subassembly A

Component B

Component C

Component D

 

300 (150 x 2)

150

900 (300 x 3)

300

600 (300 x 2)

 

The list may be condensed by combining the quantities for Component B:

Subassembly/component

Quantity

 

Product TT

Subassembly A

Component B

Component C

Component D

 

300

1050

300

600

c.

Subassemby A LT = 1 wk.

1

2

3

4

5

6

Gross requirements

   

50

100

150

Scheduled receipts

      

Projected on hand

      

Net requirements

   

50

100

150

Planned-order receipts

   

50

100

150

Planned-order releases

  

50

100

150

 

Component B LT = 2 wk.

1

2

3

4

5

6

Gross requirements

  

150

325

500

75

Scheduled receipts

      

Projected on hand

100

100

100

   

Net requirements

  

50

325

500

75

Planned-order receipts

  

50

325

500

75

Planned-order releases

50

325

500

75

  

Component C LT = 1 wk.

1

2

3

4

5

6

Gross requirements

  

50

100

150

 

Scheduled receipts

      

Projected on hand

      

Net requirements

  

50

100

150

 

Planned-order receipts

  

50

100

150

 

Planned-order releases

 

50

100

150

  

Component D LT = 1 wk.

1

2

3

4

5

6

Gross requirements

  

100

200

300

 

Scheduled receipts

      

Projected on hand

      

Net requirements

  

100

200

300

 

Planned-order receipts

  

100

200

300

 

Planned-order releases

 

100

200

300

  

 

2. a. The delay in producing component D will cause a one-week delay in producing subassembly A and the last 75 units of product TT will be delayed one week beyond that time, for a total of two weeks.

 

Week

4

5

6

7

8

 

Quantity

25

50

  

75

b.

 

Assembly A LT = 1 wk.

4

5

6

7

8

 

Gross requirements

50

100

  

150

 

Scheduled receipts

     
 

Projected on hand

     
 

Net requirements

50

100

  

150

 

Planned-order receipts

50

100

  

150

 

Planned-order releases

100

 

150

  
 

Component B LT = 2 wk.

4

5

6

7

8

 

Gross requirements

325

50

 

450

75

 

Scheduled receipts

     
 

Projected on hand

  

450

450

 
 

Net requirements

325

50

  

75

 

Planned-order receipts

325

50

  

75

 

Planned-order releases

  

75

  
 

Component C LT = 1 wk.

4

5

6

7

8

 

Gross requirements

100

 

150

  
 

Scheduled receipts

     
 

Projected on hand

     
 

Net requirements

100

 

150

  
 

Planned-order receipts

100

 

150

  
 

Planned-order releases

 

150

   
 

Component D LT = 1 wk.

4

5

6

7

8

 

Gross requirements

200

 

300

  
 

Scheduled receipts

     
 

Projected on hand

     
 

Net requirements

200

 

300

  
 

Planned-order receipts

200

 

300

  
 

Planned-order releases

 

200

   

 

3. a. The cumulative usage schedule.

 

Period

1

2

3

4

5

6

 

Quantity

60

110

190

260

290

340

b. EPP = (Setup Cost)/(Unit Holding Cost) = 500/2 = 250.
c. Calculate cumulative part-periods based on the cumulative quantities.
 

Period

Lot

size

Inventory

Periods

carried

Part-

periods

Cumulative

Part-periods

 

1

60

110

190

260

0

50

80

70

0

1

2

3

0

50

160

210

0

50

210*

420

*210 is closest to the EPP of 250; produce 190 units.

The 190 units will satisfy the requirements of the first three periods. Repeat the calculation
for the next three periods.

 

 

Period

Lot

size

Inventory

Periods carried

Part-

periods

Cumulative

Part-periods

 

4

70

100

150

0

30

50

0

1

2

0

30

100

0

30

130

The final entry of 130 does not seem to be close to the EPP of 250.  Obtain the requirements for component K for later weeks and continue the calculation








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