EBK OPERATIONS MANAGEMENT
11th Edition
ISBN: 8220103630726
Author: RENDER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter B, Problem 22P
Summary Introduction
To solve: The following linear programming problem graphically.
Introduction:
Linear programming:
It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Define Linear programming (LP)?
Karen owns a roof repair service and drives a van to local client sites. During the week she drives the following distances:
· From her home to her business headquarters: 8 miles
· From her headquarters to a client site: 15 miles
· From client site back to her headquarters: 15 miles
· Trip from her headquarters back home: 8 miles
How many miles does she count for business purposes?
Group of answer choices
8 miles.
15 miles.
30 miles.
46 miles.
The Canadian government has built a large grain-shipping port at Churchill, Manitoba, on the Hudson Bay. Grain grown in southern Manitoba is carried by rail to Churchill during the open-water shipping season. Unfortunately the port is open only 50 days per year during July and August. This leads to some critical crew staffing decisions by management. The port has the capacity to load up to 7 ships simultaneously, provided that each loading bay has an assigned crew. The remote location and short shipping season results in a very high labor cost for each crew assigned, and management would like to minimize the number of crews. Ships arrive in a random pattern that can be modeled using the Poisson probability model. If a ship arrives and all available loading bays are filled, the ship will be delayed, resulting in a large cost that must be paid to the owner of the ship. This penalty was negotiated to encourage ship owners to send their ships to Churchill.Results of an initial analysis…
Chapter B Solutions
EBK OPERATIONS MANAGEMENT
Ch. B - Prob. 1DQCh. B - Prob. 2DQCh. B - Prob. 3DQCh. B - Prob. 4DQCh. B - Prob. 5DQCh. B - Prob. 6DQCh. B - Prob. 7DQCh. B - Prob. 8DQCh. B - Prob. 9DQCh. B - Prob. 10DQ
Ch. B - Prob. 11DQCh. B - Where a constraint crosses the vertical or...Ch. B - Prob. 13DQCh. B - Prob. 1PCh. B - Prob. 2PCh. B - Prob. 3PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 5PCh. B - Prob. 6PCh. B - Prob. 7PCh. B - Prob. 8PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - The LP relationships that follow were formulated...Ch. B - Prob. 14PCh. B - Prob. 15PCh. B - Prob. 16PCh. B - Prob. 17PCh. B - Prob. 18PCh. B - Prob. 19PCh. B - Prob. 20PCh. B - Prob. 21PCh. B - Prob. 22PCh. B - Prob. 23PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 25PCh. B - Prob. 26PCh. B - A fertilizer manufacturer has to fulfill supply...Ch. B - Prob. 28PCh. B - Bowman Builders manufactures steel storage sheds...Ch. B - Prob. 30PCh. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Solve the problemarrow_forwardDefine feasible solution spacearrow_forwardA gold mining area in Lanao contains on average 1 ounce of gold per ton. Two methods of processing are available; method a cost 1.5m per ton and recovers 90% of gold: method b cost 1.3m per ton and recovers 80% of the gold. If gold can be sold for 2.4m per ounce which method is better and by how mucharrow_forward
- Foodie Goodie is a small food processing plant. It produces three kinds of snacks: sunflower seeds, peanuts and broad beans. The plant’s production capacity is as follows: • if all the equipment produces sunflower seeds, it can produce 6 kg a day; • if all the equipment produces peanuts, it can produce 5 kg a day; • if all the equipment produces broad beans, it can produce 3 kg a day. Production is planned on a weekly basis (i.e., 5 working days), and the output of the week must be stored before delivery. It takes • 1.8 litres of space to store 1 kg of sunflower seeds; • 1.9 litres of space to store 1 kg of peanuts; • 1.3 litres of space to store 1 kg of broad beans. The total storage space available is 100 litres. Due to a commercial agreement with a restaurant, Foodie Goodie must deliver at least 5 kg of broad beans every week. The marketing department estimates that the weekly demand for sunflower seeds, peanuts and broad beans does not exceed 11 kg, 15 kg and 8 kg, respectively, so…arrow_forwardFour qualified postgraduate students are to be allocated to four professors. The preference given by student (scale 1-10) is shown as table below. Student A В C D Professor James Jordan Janet 7 8 6. Jessy 5 8. 7 (a) Formulate a linear programming model for the problem. [NOTE: Please use x, where i = 1, 2,...,n -Professor and j=1, 2,...,m -Student to represent your decision variables.] (b) From the output below, what is the optimal allocation plan and what is the total preference scales obtained from the allocation plan? Model Variable Original Value Final Value Value x11 1 1 Value x12 1 Value x13 1 Value x14 Value x21 Value x22 Value x23 1 1 1 1 1 Value x24 1 Value x31 Value x32 Value x33 1 1 1 1 Value x34 1 Value x41 1 Value x42 1 Value x43 1 Value x44 1 1 699 445arrow_forwardThe Seaside Hotel is a three-star hotel in Newquay, Cornwall. It contains 108 rooms and employs 30 fulltime and 40 parttime personnel. Between May and August, the hotel's workforce is nearly doubled by casual and temporary workers. Cornwall is a difficult place to do business, especially in the tourism industry. Business is highly seasonal with hotels experiencing very low occupancy during the offseason and many hotels choose not to operate during this time. The Seaside Hotel operates all year round by supplementing its tourism trade during the off-season by offering discounted conferencing facilities for local businesses and as a cheap base for corporate events and activities, such as team building weekends. Tourism is, however, vitally important for the region and its businesses and provides a significant proportion of all jobs in the South West. Cornwall can, however, be a difficult place in which to work. For instance, Newquay – Cornwall’s most popular holiday destination – is one…arrow_forward
- The manager of a company wishes to assign three jobs to four machines on one-on-one basis. The cost of each job on each machine if given on the following table. Solve it through Branch and Bound on Assignment Problem.arrow_forwardJerry Wei, the hospital administrator at St. Charles General, must appoint head nurses to four newly established departments: urology, cardiology, orthopedics, and obstetrics. In anticipation of this staffing problem, he had hired four nurses, considered their backgrounds, personalities, and talents, and developed a cost scale ranging from 0 to 100 to be used in the assignment. A 0 for a nurse being assigned to the cardiology unit implies that the nurse would be perfectly suited to that task. A value close to 100, on the other hand, would imply that he or she is not at all suited to head that unit. The accompanying table gives the complete set of cost figures that the hospital administrator feels represented all possible assignments. Which nurse should be assigned to which unit? Department Urology Cardiology Orthopedics 28 18 15 32 48 23 51 36 24 25 38 55 Determine the assignment of nurses. The total cost is (enter your response as a whole number). Nurse Kitty Forman Carol Hathaway…arrow_forwardkindly solvearrow_forward
- A recruiter for a job placement agency is considering whether to pay $50,000 per year to lease a new recruiting facility in a prime location in Washington D. C. He estimates it will cost $50 per recruit to process the paperwork at this new location. He receives a $75 commission for each new recruit he processes. Part A - If the office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and 6,000 recruits will be processed per year, what will be the utilization of the office space?Part B - If his office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and he plans to be 90% efficient in his use of this space, how many recruits does he plan to process per year?arrow_forwardA gold mining area in Lanao contains on average, 1 ounce of gold per ton. Two methods of processing are available; method A costs ₱1.5 M per ton and recovers 90% of gold; method B cost ₱1.3M per ton and recovers 80% of the gold. If gold can be sold for ₱2.4M per ounce, which method is better and by how much?arrow_forward: You are employed by Univeristy of Gujrat , a university that provides a range of training and education, including Computing, and Information & Communication Technology (ITC). The Head of Department of ITC, Mr Rumi, has discovered that on more than one occasion recently a computer virus has been introduced to the computers in the department. He thinks that the viruses have been introduced from computer disks brought in by students. He has decided to introduce a system where all disks used in the department must be checked for a virus before they can be put into the computers. He says to you, I would like you to send a memo in my name to all teachers who use the computer rooms. You will have to tell them that all disks brought in by students must be checked before there are used. The teachers have to check them carefully, of course. We have got to stop these viruses being introduced before they cause serious problems. Oh yes, reminds them to lock up the rooms when they leave.…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.