### Find the average time in the system

Assignment Help Operation Management
##### Reference no: EM13962457

A department store in Houston maintains a successful catalog sales department in which a clerk takes orders by phone. If the clerk is occupied on one line, incoming calls are answered by recording machine, which asks to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come at rate of 14 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution and service time is exponential. The clerk is paid \$12 per hour, and cost of lost goodwill for customer waiting is \$25 per hour. a- What are the arrival and service rates per hour b- Find the average time (in minutes) that a customer must wait until his/her call is transferred to the order clerk. c- Find the average number of customers waiting to place orders. d- Find the average time in the system. e- Find the utilization rate of this system. Also find the probability that there are two or more customers in the system.

#### Questions Cloud

 Most extensive basic liberty compatible with similar liberty : The first part of Rawls’ theory of justice and fairness posits that we must have the “most extensive basic liberty compatible with a similar liberty for others”. To what extent does the current financial and political practice conform with, or violat.. Production schedule for next six months that minimizes cost : Calpal is a small manufacturer of a special engineering workstation. The company operates one plant with a monthly capacity of 3,000 units. In addition, 750 units can be produced on an overtime basis, which is 30% more expensive, on the average. The .. Cross-business opportunities : Identify the value chain relationships that exist for Johnson & Johnson. Consider whether there are cross-business opportunities for (a) transferring competitively valuable resources, expertise, technological know-how and other capabilities, (b) cost.. What is the utilization rate : Suppose that one of the Best Burger locations has a two channel system. The λ = 60 customers per hour and the µ = 60 customer per hour. What is the utilization rate? What is the probability that an arriving customer has to wait for service? Find the average time in the system : A department store in Houston maintains a successful catalog sales department in which a clerk takes orders by phone. If the clerk is occupied on one line, incoming calls are answered by recording machine, which asks to wait. Find the average time in.. True of instant messaging : Which of the following is not true of instant messaging? About various production processes-continuous flow : Discuss your thoughts about the various production processes (Job Shop, Continuous Flow, Assembly line, Batch process  ) discussed to date, their similarities and differences. Identify some specific examples of some of the processes we discuss in thi.. The internal or external environment : Please answer in two paragraphs and explain in detail why you feel this way. In looking at the industry in which you currently work, which life cycle stage do you think it is in at the present time? What do you see happening in the internal or extern.. Find the optimum stocking level : The Corner Newsstand has demand for a certain weekly magazine that can be approximated by a Poisson distribution with a mean of 9.0. Magazines are purchased for \$1.50. If unsold copies must be destroyed and copies sell for \$4.00 each, find the optimu..

### Write a Review

#### Define and discuss the open shop movement

Define and discuss the open shop movement. Include a specific example and analyze its success or failure, and why. Write a 2-3 page paper using APA format.

Decision Trees

#### Develop an objective function that will maximize profits

A manufacturer makes two products, doors and windows. Each must be processed through two work areas. Work area #1 has 60 hours of available production time. Work area #2 has 45 hours of available production time. Develop an objective function that wi..

#### Determine the three-sigma control limits for defects

determine the three-sigma control limits for defects per shirt. b. Suppose that the next shirt has 13 flaws. What can you say about the process now?

#### Identify potential ethical challenges

Identify potential ethical challenges that may be faced by security professionals as technology advances, applications become more mobile, and computer criminals become more innovative.

#### Find out the optimal assignment of taxis to consumers

The distances in miles from the waiting taxis to the consumers are given in the subsequent table. Find out the optimal assignment of taxis to consumers so as to minimize total driving distances to the consumers.

#### Environmental analysis

What kind of economic factors affect the purchasing power of potential customers and the firm's cost of capital such as economic growth, interest rates, exchange rates, etc.

#### Speculate to which is the most difficult part of retention

Speculate to which is the most difficult part of retention management. Then, recommend how any size company can address that difficulty. Note: you do not need a single recommendation for any size company. You can create multiple recommendations fo..

#### Identify and describe the areas of a swot analysis

Identify and describe the areas of a SWOT analysis and discuss why it is important to consider these areas when developing a strategic plan. Why is it often difficult to develop a realistic analysis

#### Evaluate the white sox attendance for 2007 please show all

here are the chicago white sox attendance figures for their 82 home games from 1995 through

#### Explain how willing you be to go along ethical standards

f you were to be sent to another country to work for a period of time, where the cultural ethical standards were very different from yours. Explain how willing would you be to "go along" with the ethical standards of which culture.

#### Purpose of securing limited liability

Siebrecht organized Siebrecht Realty Co., a corporation and then transferred his building to the corporation in exchange for its stock. The corporation rented different parts of the building to different tenants. Elenkrieg, an employee of one of the ..