A set of tools costs Php 1,800 and can be ground twenty times. Each regrinding costs Php 18.00 and the time needed to regrind and change tools is 1 hour. The machine operator is paid Php 28.00 per hour, including the time the tool is changed. The tool grinder who also sets the tools to the machine is paid Php 25.00 per hour. The hourly rate chargeable against the machine is Php 54.00 regardless of machine speed. Which speed is the most economical?

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 37P
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6
A machine used for cutting materials in a factory has the following outputs per hour at
various speeds and requires periodic tool regrinding at the intervals cited.
Speed
Output per Hour
Tool Regrinding
200 pieces
250 pieces
280 pieces
every 8 hours
every 7 hours
every 5 hours
A
B
A set of tools costs Php 1,800 and can be ground twenty times. Each regrinding costs Php
18.00 and the time needed to regrind and change tools is 1 hour. The machine operator is
paid Php 28.00 per hour, including the time the tool is changed. The tool grinder who also
sets the tools to the machine is paid Php 25.00 per hour. The hourly rate chargeable against
the machine is Php 54.00 regardless of machine speed. Which speed is the most economical?
Transcribed Image Text:A machine used for cutting materials in a factory has the following outputs per hour at various speeds and requires periodic tool regrinding at the intervals cited. Speed Output per Hour Tool Regrinding 200 pieces 250 pieces 280 pieces every 8 hours every 7 hours every 5 hours A B A set of tools costs Php 1,800 and can be ground twenty times. Each regrinding costs Php 18.00 and the time needed to regrind and change tools is 1 hour. The machine operator is paid Php 28.00 per hour, including the time the tool is changed. The tool grinder who also sets the tools to the machine is paid Php 25.00 per hour. The hourly rate chargeable against the machine is Php 54.00 regardless of machine speed. Which speed is the most economical?
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