What is the long run expected number of cars in the system

Assignment Help Mathematics
Reference no: EM131066306

Arrivals at a Jiffy Lube follow a Poisson process with rate 10/hour. Service time is exponentially distributed with mean 15 minutes per customer. There are 2 servers available. Since there is a competitor across the street, only 80% of arriving customers stay for service if they find one car WAITING in queue for service; only 60% stay if they find two cars waiting in queue for service; only 40% stay if they find three cars waiting in queue for service; none stay for service if they find four cars waiting in queue for service. Let X(t) represent the number of cars in the system at time t. Convert all rates to hourly rates.

(a) What is the probability that an arriving customer will be served immediately?

(b) What is the long run expected number of cars in the system?

(c) What is the average amount of time a customer spends at the system?

(d) What is the arrival rate of customers INTO Jiffy Lube

Reference no: EM131066306

Questions Cloud

Stock market price after each of the stock splits : You own 1,000 shares of Jennings Corp. stock, which is currently selling for $88.00. Calculate the number of shares you would own and the stock’s market price after each of the following stock splits.
Create an outline of an onboarding process : In this assignment, you will create an outline of an onboarding process. Summarize what you feel are the 2 most important elements in onboarding in the global environment.
What is the market price of the bond : A tax-exempt bond was recently issued at an annual 10 percent coupon rate and matures 15 years from today. The par value of the bond is $1000. If required market rates are 10 percent, what is the market price of the bond? If required market rate fall..
Developing a retail price strategy : From the first case study, determine retail price strategies that significantly support profit despite an economic meltdown. Provide a rationale for your response.
What is the long run expected number of cars in the system : What is the long run expected number of cars in the system?
Expected rate of return and standard deviation on this stock : You recently purchased a stock that is expected to earn 20 percent in a booming economy, 10 percent in a normal economy, and lose 30 percent in a recessionary economy. There is a 5 percent probability of a boom and a 75 percent chance of a normal eco..
Partnership for the purpose of raising cows and pigs : In 2005, Hardy and Dorn entered into a partnership for the purpose of raising cows and pigs. The two men were to share equally all costs, labor, losses, and profits.
Improved growth in earnings and dividends : Home Place Hotels, Inc., is entering into a 3-year remodeling and expansion project. The construction will have a limiting effect on earnings during that time, but when it is complete, it should allow the company to enjoy much improved growth in earn..
How a change in the exchange rate affected your firm : Describe how a change in the exchange rate affected your firm. Explain what happened to your price and quantity. How can you profit from future shifts in the exchange rate? How do you predict future changes in the exchange rate?

Reviews

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd