North Platt Machinery Company manufactures a shaft that must fit inside a sleeve. The firm has just received an order of 48,000 units from Southernstar Exploration Company for $68 per unit. North Platt can manufacture the shaft at $38 per unit. Southernstar desires the diameter of the shaft to be 1.294 cm. The diameter of the shaft must not be less than 1.269 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 1.319 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 $58. Shown below are the diameters from a sample of 100 shafts manufactured during a trial run: Number of Number of Number of

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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 48,000 units
from Southernstar Exploration Company for $68 per unit. North Platt can manufacture the shaft at $38 per unit. Southernstar desires
the diameter of the shaft to be 1.294 cm. The diameter of the shaft must not be less than 1.269 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 1.319 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 $58. Shown below are the diameters from a sample
of 100 shafts manufactured during a trial run:
Diameter
1.251
1.259
1.269
1.277
1.281
1.289
1.291
Number of
Units
2
3
4
3
3
4
7
1. Expected loss
2. Tolerance
Diameter
1.292
1.293
1.294
1.295
1.296
1.299
1.307
$
Number of
Units
7
8
14
9
5
3
3
Diameter
1.311
1.312
1.313
1.317
1.319
1.323
1.339
Required:
Set up an Excel spreadsheet that uses a Taguchi quality loss function to determine:
36.45
0.0160 cm
Number of
Units
3
2
6
4
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.)
4
3
3
Transcribed Image Text:North Platt Machinery Company manufactures a shaft that must fit inside a sleeve. The firm has just received an order of 48,000 units from Southernstar Exploration Company for $68 per unit. North Platt can manufacture the shaft at $38 per unit. Southernstar desires the diameter of the shaft to be 1.294 cm. The diameter of the shaft must not be less than 1.269 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 1.319 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 $58. Shown below are the diameters from a sample of 100 shafts manufactured during a trial run: Diameter 1.251 1.259 1.269 1.277 1.281 1.289 1.291 Number of Units 2 3 4 3 3 4 7 1. Expected loss 2. Tolerance Diameter 1.292 1.293 1.294 1.295 1.296 1.299 1.307 $ Number of Units 7 8 14 9 5 3 3 Diameter 1.311 1.312 1.313 1.317 1.319 1.323 1.339 Required: Set up an Excel spreadsheet that uses a Taguchi quality loss function to determine: 36.45 0.0160 cm Number of Units 3 2 6 4 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.) 4 3 3
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