North Platt Machinery Company manufactures a shaft that must fit inside a sleeve. The firm has just received an order of 53,000 units from Southernstar Exploration Company for $48 per unit. North Platt can manufacture the shaft at $18 per unit. Southernstar desires the diameter of the shaft to be 1.278 cm. The diameter of the shaft must not be less than 1.253 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 1.303 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 $38. Shown below are the diameters from a sample of 100 shafts manufactured during a trial run: Diameter 1.235 1.243 1.253 1.261 1.265 1.273 1.275 Number of Units 2 3 4 3 3 4 7 Diameter 1.276 1.277 1.278 1.279 1.280 1.283 1.291 Number of Units 7 8 18 9 6 3 3 Diameter 1.295 1.296 1.297 1.301 1.303 1.307 1.323 Number of Units 3 2 5 3 3 2 2 Required: Set up an Excel spreadsheet that uses a Taguchi quality loss function to determine: 1. The expected loss (total quality cost) per unit, ELL(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.)
North Platt Machinery Company manufactures a shaft that must fit inside a sleeve. The firm has just received an order of 53,000 units from Southernstar Exploration Company for $48 per unit. North Platt can manufacture the shaft at $18 per unit. Southernstar desires the diameter of the shaft to be 1.278 cm. The diameter of the shaft must not be less than 1.253 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 1.303 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 $38. Shown below are the diameters from a sample of 100 shafts manufactured during a trial run: Diameter 1.235 1.243 1.253 1.261 1.265 1.273 1.275 Number of Units 2 3 4 3 3 4 7 Diameter 1.276 1.277 1.278 1.279 1.280 1.283 1.291 Number of Units 7 8 18 9 6 3 3 Diameter 1.295 1.296 1.297 1.301 1.303 1.307 1.323 Number of Units 3 2 5 3 3 2 2 Required: Set up an Excel spreadsheet that uses a Taguchi quality loss function to determine: 1. The expected loss (total quality cost) per unit, ELL(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.)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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 53,000 units
from Southernstar Exploration Company for $48 per unit. North Platt can manufacture the shaft at $18 per unit. Southernstar desires
the diameter of the shaft to be 1.278 cm. The diameter of the shaft must not be less than 1.253 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 1.303 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 $38. Shown below are the diameters from a sample
of 100 shafts manufactured during a trial run:
Diameter
1.235
1.243
1.253
1.261
1.265
1.273
1.275
Number of
Units
2
3
4
3
3
4
7
Diameter
1.276
1.277
1.278
1.279
1.280
1.283
1.291
Number of
Units
7
8
18
9
6
3
3
Diameter
1.295
1.296
1.297
1.301
1.303
1.307
1.323
Number of
Units
3
2
5
3
3
2
2
Required:
Set up an Excel spreadsheet that uses a Taguchi quality loss function to determine:
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%2F574c901f-c11c-4c2b-b814-1938ab585d16%2F7cc1ed26-0991-45a7-a5e8-3e68658fdc13%2Fjvbxdcn_processed.png&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 53,000 units
from Southernstar Exploration Company for $48 per unit. North Platt can manufacture the shaft at $18 per unit. Southernstar desires
the diameter of the shaft to be 1.278 cm. The diameter of the shaft must not be less than 1.253 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 1.303 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 $38. Shown below are the diameters from a sample
of 100 shafts manufactured during a trial run:
Diameter
1.235
1.243
1.253
1.261
1.265
1.273
1.275
Number of
Units
2
3
4
3
3
4
7
Diameter
1.276
1.277
1.278
1.279
1.280
1.283
1.291
Number of
Units
7
8
18
9
6
3
3
Diameter
1.295
1.296
1.297
1.301
1.303
1.307
1.323
Number of
Units
3
2
5
3
3
2
2
Required:
Set up an Excel spreadsheet that uses a Taguchi quality loss function to determine:
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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VIEWStep 2: Define Taguchi quality loss function
VIEWStep 3: 1) Determine the expected loss per unit - Taguchi's Loss function for the process
VIEWStep 4: 1) Determine the expected loss per unit -Expected loss of the process
VIEWStep 5: 2) Calculate the diameter tolerance
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