Answered: ubser Welding, Inc., operates a welding…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of five jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.3 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder to complete all jobs:

What is the mean arrival rate in jobs per hour? If required, round your answer to two decimal places.

fill in the blank 1 per hour
What is the mean service rate in jobs per hour? If required, round your answer to four decimal places.

fill in the blank 2 per hour
What is the average number of jobs waiting for service? If required, round your answer to three decimal places.

fill in the blank 3

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Step 1: Define arrival rate:

Arrival rate refers to the rate at which customer orders, shipments, or demands are received. It is important for an organization to determine the arrival rate as it helps in managing the inventory level, scheduling the production activities, and capacity planning. The importance of the arrival rate is that it influences system performance and resource allocation.

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