On average, 40 jobs arrive per day at a factory. The time between arrivals of jobs is

Question:

On average, 40 jobs arrive per day at a factory. The time between arrivals of jobs is exponentially distributed. The factory can process an average of 42 jobs per day, and the time to process a job is exponentially distributed.

a. On average, how long does it take before a job is completed (measured from the time the job arrives at the factory)?

b. What fraction of the time is the factory idle?

c. What is the probability that work on a job will begin within two days of its arrival at the factory?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Practical Management Science

ISBN: 978-1305250901

5th edition

Authors: Wayne L. Winston, Christian Albright

See More Books

Question Posted: Nov 03, 2018 10:25 AM

See More Questions

A small bank is trying to determine how many tellers to employ. The total cost of employing a teller is $100 per day, and a teller can serve an average of 60 customers per day. On average, 50...
1. Arrows up or down: If we move from the cartel outcome to the duopoly outcome, the price ___________, the quantity per firm __________, and the profit per firm __________. 2. A dominant strategy is...
For each of the cost items described below, choose the graph (see below) that best represents it. 1. The salary costs of the shift supervisors at a truck depot. Each shift is eight hours. The depot...
Why " Kodak " is unsuccessful in implementing a strategy. Can you prepare a critical examination of the strategy to address the following questions about Kodak. What was the strategy and why do you...
What are some of the ways companies can continue to motivate their employees in a time of a recession and extended higher unemployment.
Firms A and B are duopolist producers of widgets. The cost function for producing widgets is C(Q) = Q2. The market demand function for widgets is Qd = 192P-2, where Q measures thousands of widgets...
Describe how those who contract AIDS are discriminated against.
Shelly Zumaya (2220 East Hennepin Avenue, Minneapolis, MN 55413) is the president and sole shareholder of Kiwi Corporation (stock basis of $400,000). Incorporated in 2005, Kiwi Corporation's sole...
Read the IHI Triple Aim Initiative page on the Institute for Healthcare Improvement's (IHI) website, read Triple Aim for Populations , and watch the video " An Overview of the IHI Triple Aim ," all...
1. What would be the key barriers in the early days of internationalization if TOMS Shoes decided to expand to Europe? 2. What have been the driving forces (motives) for the early...
On average, 90 patrons arrive per hour at a hotel lobby (inter-arrival times are exponential) waiting to check in. At present there are five clerks, and patrons wait in a single line for the first...
Compute the indicated matrices (if possible). AB 2 1 C = 3 |A = 4 B = -2 3 4 2 3 5 5 6 -3 E = [4 2], F= D = %3D 2.
The stockholders equity accounts of Fernandez, Inc., at January 1, 2010, are as follows. Preferred Stock, no par, 4,000 shares issued .... $400,000 Common Stock , no par, 140,000 shares issued ......
Solve the linear system $\mathbf{A x}=\mathbf{b}$ by using a. The inverse of the coefficient matrix. b. 1 The "\" operator in MATLAB. \(\mathbf{A}=\left[\begin{array}{ccc}2 & 1 & -2 \\ 3 & 0 & 2 \\...
Consider the conditions of work in perfume factories. In New York perfume factories, workers dislike the smell of perfume, while in California plants, workers appreciate the smell of perfume,...
Which groups in the population were overrepresented among those who died from Covid19? Which groups were underrepresented? In what way did the demographics of Covid19 mortality differ from the...
Use a bar graph to plot the cumulative relative frequency. Use the goaltenders salaries for the 1991 NHL season given in the following table to answer question. Name Patrick Roy Ed Belfour Ron...
Swift Feet, Inc. can produce 1,000 pairs of sneakers per hour at maximum efficiency. There are three 8-hour shifts each day. Due to unavoidable operating interruptions, production averages 800 units...
Using the Hospital database, construct a box-and-whisker plot for births. Thinking about hospitals and birthing facilities, comment on why the box-and-whisker plot looks like it does.
(a) How far away can a human eye distinguish two ear headlights 2.0 m apart? Consider only diffraction effects and assume an eye pupil diameter of 5.0 mm and a wavelength of 550 nm. (b) What is the...
A supermarket chain is planning to open a number of new stores to appeal to Hispanics in southern California. Give some examples that indicate how the four Ps might be adjusted to appeal to the...
How should social class influences affect the planning of a new restaurant in a large city? How might the four Ps be adjusted?
Illustrate how the reference group concept may apply in practice by explaining how you personally are influenced by some reference group for some product. What are the implications of such behavior...
Assume that a robot systems constant failure and repair rates are 0.0004 failures per hour and 0.002 repairs per hour, respectively. Calculate the robot system steady-state unavailability and...
March 6, 2018 David Beckham's Latest Pitch: Men's Cosmetics. By Robert Williams Men of the world, David Beckham has a message for you: Moisturize. "It's the biggest thing," he says in a London...
3. On January 1, an investment fund was opened with an initial balance of 5000. Just after the balance grew to 5200 on July 1, an additional 2600 was deposited. The annual effective yield rate for...

On average, 40 jobs arrive per day at a factory. The time between arrivals of jobs is

Question:

Step by Step Answer:

Model Job arrivals to a factory Inputs Unit of time Arrival ...View the full answer

Practical Management Science

Students also viewed these Business questions