A machine used for cutting materials in a factory has the following outputs per hour at various speeds and required periodic tool regrinding at intervals cited.  Speed Hour                                                      Output per Tool Regrinding A                                                                         200 pieces every 8 hours  B                                                                          280 pieces every 5 hours   A set of tools costs 560 and can be ground twenty times. Each regrinding costs 54.00 and the time needed to regrind and change tools is 1 hour. The machine operator is paid 35.00 per hour including the time the tool is changed. The tool grinder who also sets the tools to the machine is paid 40.00 per hour. The hourly rate chargeable against the machine is 38.00, regardless of machine speed. Which speed is more ecomical? A. Speed B, 0.096/pc B Speed B, 0.087/pc C. Speed A, .054/pc  D. Speed A >037/pc

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 18P
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A machine used for cutting materials in a factory has the following outputs per hour at various speeds and required periodic tool regrinding at intervals cited. 

Speed Hour                                                      Output per Tool Regrinding

A                                                                         200 pieces every 8 hours 

B                                                                          280 pieces every 5 hours

 

A set of tools costs 560 and can be ground twenty times. Each regrinding costs 54.00 and the time needed to regrind and change tools is 1 hour. The machine operator is paid 35.00 per hour including the time the tool is changed. The tool grinder who also sets the tools to the machine is paid 40.00 per hour. The hourly rate chargeable against the machine is 38.00, regardless of machine speed. Which speed is more ecomical?

A. Speed B, 0.096/pc

B Speed B, 0.087/pc

C. Speed A, .054/pc 

D. Speed A >037/pc

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ISBN:
9781337406659
Author:
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Cengage,