1. Expected loss 2. Tolerance cm
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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![North Platt Machinery Company manufactures a shaft that must fit inside a sleeve. The firm has just received an order of 54,000 units
from Southernstar Exploration Company for $52 per unit. North Platt can manufacture the shaft at $22 per unit. Southernstar desires
the diameter of the shaft to be 1.279 cm. The diameter of the shaft must not be less than 1.254 cm in order to fit properly inside the
sleeve. To be able to insert the shaft into a sleeve without the use of force, the diameter cannot be larger than 1.304 cm. A defective
shaft is discarded and a replacement has to be shipped via express freight to locations around the world. North Platt estimates that the
average cost of handling and shipping a replacement shaft will be approximately $42. Shown below are the diameters from a sample
of 80 shafts manufactured during a trial run:
Diameter
1.236
1.244
1.254
1.262
1.266
1.274
1.276
Number of
Units
1
2
3
2
2
3
6
Diameter
1.277
1.278
1.279
1.280
1.281
1.284
1.292
1. Expected loss
2. Tolerance
Number of
Units
6
7
17
8
4
2
2
Diameter
1.296
1.297
1.298
1.302
1.304
1.308
1.324
Number of
Units
2
:cm
1
6
Required:
Set up an Excel spreadsheet that uses a Taguchi quality loss function to determine:
2
2
1
1
1. The expected loss (total quality cost) per unit, E[L(x)], from this process. (Do not round intermediate calculations. Round your
answer to 2 decimal places.)
2. The diameter tolerance that should be set for the manufacture of the shaft. (Do not round intermediate calculations. Round your
answer to 4 decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54fafca2-4b19-42e1-b57a-4faba095a1ec%2Fe47192cf-d734-4f48-93be-0cc1b4fe9ce8%2Fp70urp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:North Platt Machinery Company manufactures a shaft that must fit inside a sleeve. The firm has just received an order of 54,000 units
from Southernstar Exploration Company for $52 per unit. North Platt can manufacture the shaft at $22 per unit. Southernstar desires
the diameter of the shaft to be 1.279 cm. The diameter of the shaft must not be less than 1.254 cm in order to fit properly inside the
sleeve. To be able to insert the shaft into a sleeve without the use of force, the diameter cannot be larger than 1.304 cm. A defective
shaft is discarded and a replacement has to be shipped via express freight to locations around the world. North Platt estimates that the
average cost of handling and shipping a replacement shaft will be approximately $42. Shown below are the diameters from a sample
of 80 shafts manufactured during a trial run:
Diameter
1.236
1.244
1.254
1.262
1.266
1.274
1.276
Number of
Units
1
2
3
2
2
3
6
Diameter
1.277
1.278
1.279
1.280
1.281
1.284
1.292
1. Expected loss
2. Tolerance
Number of
Units
6
7
17
8
4
2
2
Diameter
1.296
1.297
1.298
1.302
1.304
1.308
1.324
Number of
Units
2
:cm
1
6
Required:
Set up an Excel spreadsheet that uses a Taguchi quality loss function to determine:
2
2
1
1
1. The expected loss (total quality cost) per unit, E[L(x)], from this process. (Do not round intermediate calculations. Round your
answer to 2 decimal places.)
2. The diameter tolerance that should be set for the manufacture of the shaft. (Do not round intermediate calculations. Round your
answer to 4 decimal places.)
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