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Case Studies Old Oregon Wood Store (I\'ve typed the figures in above the graph,

ID: 364328 • Letter: C

Question

Case Studies Old Oregon Wood Store (I've typed the figures in above the graph, where they aren't showing up)

In 2015, George Wright started the Old Oregon Wood Store to manufacture Old Oregon tables. Each table is carefully constructed by hand using the highest-quality oak. Old Oregon tables can support more than 500 pounds, and since the start of the Old Oregon Wood Store, not one table has been returned because of faulty workmanship or structural problems. In addition to being rugged, each table is beautifully finished using a urethane varnish that George developed over 20 years of working with wood-finishing materials.

The manufacturing process consists of four steps: preparation, assembly, finishing, and packaging. Each step is performed by one person. In addition to overseeing the entire operation, George does all of the finishing. Tom Surowski performs the preparation step, which involves cutting and forming the basic components of the tables. Leon Davis is in charge of the assembly, and Cathy Stark performs the packaging.

Although each person is responsible for only one step in the manufacturing process, everyone can perform any one of the steps. It is George’s policy that occasionally everyone should complete several tables on his or her own without any help or assistance. A small competition is used to see who can complete an entire table in the least amount of time. George maintains average total and intermediate completion times. The data are shown in Figure 15.7.

Preparation Assembly Finishing Packing

Tom 100 160 250 275

George 80 160 220 230

Leon 110 200 280 290

Cathy 120 190 290 315

Figure 15.7 Manufacturing Time in Minutes

It takes Cathy longer than the other employees to construct an Old Oregon table. In addition to being slower than the other employees, Cathy is also unhappy about her current responsibility of packaging, which leaves her idle most of the day. Her first preference is finishing, and her second preference is preparation.

In addition to quality, George is concerned with costs and efficiency. When one of the employees misses a day, it causes major scheduling problems. In some cases, George assigns another employee overtime to complete the necessary work. At other times, George simply waits until the employee returns to work to complete his or her step in the manufacturing process. Both solutions cause problems. Overtime is expensive, and waiting causes delays and sometimes stops the entire manufacturing process.

To overcome some of these problems, Randy Lane was hired. Randy’s major duties are to perform miscellaneous jobs and to help out if one of the employees is absent. George has given Randy training in all phases of the manufacturing process, and he is pleased with the speed at which Randy has been able to learn how to completely assemble Old Oregon tables. Randy’s average total and intermediate completion times are given in Figure 15.8.

Preparation Assembly Finishing Packing

Randy 110 190 290 300

Figure 15.8 Randy’s Completion Times in Minutes

1. What is the fastest way to manufacture Old Oregon tables using the original crew? How many could be made per day?

2. Would production rates and quantities change significantly if George would allow Randy to perform one of the four functions and make one of the original crew the backup person?

3. What is the fastest time to manufacture a table with the original crew if Cathy is moved to either preparation or finishing?

4. Whoever performs the packaging function is severely under­utilized. Can you find a better way of utilizing the four- or five-person crew than either giving each a single job or allowing each to manufacture an entire table? How many tables could be manufactured per day with this scheme?

Explanation / Answer

Stage

Preparation

Assembly

Finishing

Packaging

Tom

100

160

250

275

George

80

160

220

230

Leon

110

200

280

290

Cathy

120

190

290

315

Fastest way to manufacture Old Oregon tables using the original crew:

Stage

Preparation

Assembly

Finishing

Packaging

Tom

100

60

90

25

George

80

80

60

10

Leon

110

90

80

10

Cathy

120

70

100

25

After applying Hungarian method,
Column reduction :-

20

0

30

15

0

20

0

0

30

30

20

0

40

10

40

15

Row reduction:

5

0

30

15

0

20

0

0

30

30

20

0

30

0

30

5

Minimum value is 5

Intersection is 20,0

The final table:

0

0

25

15

0

25

0

5

25

30

15

0

25

0

25

5

The work:

Stage

Preparation

Assembly

Finishing

Packaging

Tom

100

George

60

Leon

10

Cathy

70

Total time

100

70

60

10

From the allocation,
Total time = 100+70+60+10 = 240
Assuming 8 hours working a day, total no. of tables = 480/100 = 4.8 tables

2. If George would allow Randy to perform one of the four functions: -
Timing for Randy is 110 190 290 300

The new table formed after adding Randy:

Stage

Preparation

Assembly

Finishing

Packaging

Backup

Tom

100

60

90

25

0

George

80

80

60

10

0

Leon

110

90

80

10

0

Cathy

120

70

100

25

0

Randy

110

80

100

10

0

To balance the table, a dummy table has been added

Stage

Preparation

Assembly

Finishing

Packaging

Backup

Tom

60

George

80

Leon

80

Cathy

Backup

Randy

10

Total time

80

60

80

10

If Randy is hired, Total time = 80+60+80+10=230

Saving of time = 240-230=10 with Cathy as backup

3. Fastest time to manufacture a table with the original crew if Cathy is moved to either preparation or finishing is:-  

If Cathy is removed:
First preference of Cathy is finishing.
Second preference is preparation
Ignore Randy

Work in which Cathy is given finishing

Stage

Preparation

Assembly

Finishing

Packaging

Tom

100

60

90

25

George

80

80

60

10

Leon

110

90

80

10

Cathy

120

70

100

25

Assigning remaining 3 jobs to remaining 3 persons:

Stage

Preparation

Assembly

Finishing

Packaging

Tom

60

George

80

Leon

10

Cathy

100

Total time

80

60

100

10

Total time = 80+60+100+10 = 250

Work in which Cathy is given Preparation

Stage

Preparation

Assembly

Finishing

Packaging

Tom

100

60

90

25

George

80

80

60

10

Leon

110

90

80

10

Cathy

120

70

100

25

Assigning remaining 3 jobs to remaining 3 persons:

Stage

Preparation

Assembly

Finishing

Packaging

Tom

60

George

60

Leon

10

Cathy

120

Total time

120

60

60

10

Total time = 120+60+30+10 = 250

4. If using Utilizing packaging function: We can combine packaging and finishing operation to utilize packaging function. By considering 5 crew members including Randy.

Stage

Preparation

Assembly

Finishing & Packaging

Backup

Total time

Tom

100

60

115

0

275

George

80

80

70

0

230

Leon

110

90

90

0

290

Cathy

120

70

125

0

315

Randy

110

80

110

0

300

Stage

Preparation

Assembly

Finishing

Packaging

Tom

100

160

250

275

George

80

160

220

230

Leon

110

200

280

290

Cathy

120

190

290

315

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