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Chapter 2: Q13-4OQ (page 339)

Question:There is a 3 percent error rate at a specific point in a production process. If an inspector is placed at this point, all the errors can be detected and eliminated. However, the inspector is paid \(8 per hour and can inspect units in the process at the rate of 30 per hour. If no inspector is used and defects are allowed to pass this point, there is a cost of \)10 per unit to correct the defect later on. Should an inspector be hired?

Short Answer

Expert verified

Answer

Yes, the investigator should be hired

Step by step solution

01

Step-by-Step Solution Step 1: The inspectors are hired

Theexternal inspectorsare hired to detect the error in the production process. The production process involves the entire steps that are necessary to form an end product for the consumer. And if there is any defect in the process, then it needs to be solved immediately so that it will not affect in future.

02

An inspector be hired

Yes, the inspector should be hired because,

Defective average = 0.03

Inspection rate = 30 per hour

Cost of inspection = $8 per hour

Correction cost is $10 each

Chance of no inspection =930=0.300

localid="1650519971358" Inspector=830=2.67

Yes, there is a need for investors.

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Most popular questions from this chapter

Question: An important difference between service and manufacturing operations is that customers introduce far more variability into the operations in a service system. Name at least three of the basic types of variation that customers bring to a service system.

Question: Calculate the probability of zero patients in the system (P0), the probability of one patient (P1), and the probability of two or more patients simultaneously arriving during the night shift.

A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 750 per hour. It will take exactly four seconds to verify the debit card.

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Using finite queuing analysis, answer the following questions:

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