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An injector machine goes down roughly 40% of the time (the injector gums up and needs to be cleaned, a quick process). One operator is assigned to service three identical such machines. Each machine can produce 200 parts/h if running properly (i.e., not down). The operator is paid $10/h and each machine costs $40/h to operate. Consider 8hr/shift a) Please fill in the table below: (please keep three decimal places) Machine down (m) Probability Lost time (hr/shift) ⠀ 0 2 3 parts (please keep an integer) c) What is the unit cost for this operation? $ per part (please keep three decimal places) d) If you hire another operator at the same rate to assist the first operator, what is the unit cost now? $ per part (please keep three decimal places) b) How many parts can you produce per shift? e) Is it worth hiring another operator at the same rate to assist the first operator, in case more than one machine goes down at the same time?

An injector machine goes down roughly 40% of the time (the injector gums up and needs to be cleaned, a quick process). One operator is assigned to service three identical such machines. Each machine can produce 200 parts/h if running properly (i.e., not down). The operator is paid $10/h and each machine costs $40/h to operate. Consider 8hr/shift a) Please fill in the table below: (please keep three decimal places) Machine down (m) Probability Lost time (hr/shift) ⠀ 0 2 3 parts (please keep an integer) c) What is the unit cost for this operation? $ per part (please keep three decimal places) d) If you hire another operator at the same rate to assist the first operator, what is the unit cost now? $ per part (please keep three decimal places) b) How many parts can you produce per shift? e) Is it worth hiring another operator at the same rate to assist the first operator, in case more than one machine goes down at the same time?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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An injector machine goes down roughly 40% of the time (the injector gums up and needs to be cleaned, a quick process). One operator is assigned to service three identical such machines. Each machine can produce 200 parts/h if running properly (i.e., not down). The operator is paid $10/h and each machine costs $40/h to operate. Consider 8hr/shift a) Please fill in the table below: (please keep three decimal places) Machine down (m) Probability Lost time (hr/shift) 0 1 2 3 b) How many parts can you produce per shift? parts (please keep an integer) c) What is the unit cost for this operation? $ per part (please keep three decimal places) d) If you hire another operator at the same rate to assist the first operator, what is the unit cost now? $ per part (please keep three decimal places) e) Is it worth hiring another operator at the same rate to assist the first operator, in case more than one machine goes down at the same time?
Transcribed Image Text:An injector machine goes down roughly 40% of the time (the injector gums up and needs to be cleaned, a quick process). One operator is assigned to service three identical such machines. Each machine can produce 200 parts/h if running properly (i.e., not down). The operator is paid $10/h and each machine costs $40/h to operate. Consider 8hr/shift a) Please fill in the table below: (please keep three decimal places) Machine down (m) Probability Lost time (hr/shift) 0 1 2 3 b) How many parts can you produce per shift? parts (please keep an integer) c) What is the unit cost for this operation? $ per part (please keep three decimal places) d) If you hire another operator at the same rate to assist the first operator, what is the unit cost now? $ per part (please keep three decimal places) e) Is it worth hiring another operator at the same rate to assist the first operator, in case more than one machine goes down at the same time?
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