
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Question

Transcribed Image Text:Proctoring Enabled: Chapter 7 Using Binary Integer Progr..
Saved
Help
The university administration would like to add some additional parking locations. To make everyone happy, they would like each
building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces). The
university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project. In addition
to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10). To help with
the decision, the management science department formulated the following linear programming model:
Min 445x1 + 490x2 + 455x3+ 375x4 + 360x5 + 355x6
s.t. x1 + x2 + xs + x6 2 1 {Residence Hall A constraint)
x1 + x2 + x3 2 1 (Residence Hall B constraint)
X4 + x5 + X6 1 (Science building constraint)
x1 + X4 + x5 1 (Music building constraint)
x2 + x3 + X4 2 1 (Math building constraint}
x3 + x4 + x5 2 1(Business building constraint}
x2 + x5 + x6 2 1 (Auditorium constraint)
x1 + X4 + X6 2 1(Arena constraint)
X1 + x2 + X3 + x4 + x5 + X6 2 4 (Total locations constraint)
1, if location j is selected
0, otherwise
a. What is the minimum the university can spend and still meet its goals? (Round your answer to the nearest whole number.)
Minimum university goals
b. Which of the locations will be selected?
Location 1 will
< Prev
Next >
4 of 5
Mc
Graw
Hill
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 6 images

Knowledge Booster
Similar questions
- Considering the following decision tree, what is the EV at node 3? Assume the payoffs are COST values. **Enter the number only** P(F) = 0.6 P(U) = 0.4 P(s1 | F) = 0.75 P(s1 | U)=0.55 P(s2 | F) = 0.25 P(s2 | U) = 0.45 P(s1) = 0.7 P(S2) = 0.3 1 Market Research No Market Research F **Enter the number only** d₂ 2 d₂ (10) 5₁ 5₂ 5₁ 5₂ 4 5₂ 5₁ S BOY S₁ 100 300 400 200 100 300 400 200 100 300 400 200arrow_forwardWilliam, a project manager, has a workload of 25,000 hours that needs to be completed in 30 weeks. He has a team of 20 people who work five 8-hour days per week. He notices that in the 30-week period, there are three holidays and 6 members have each requested 8 days off. Given this information, William is _____ short of completing his workload. Question options: 23,136 hours 1,864 hours 480 hours 1,480 hours 384 hoursarrow_forwardThe university administration would like to add some additional parking locations. To make everyone happy, they would like each building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces). The university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project. In addition to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10). To help with the decision, the management science department formulated the following linear programming model: Min 355x1 + 410x2 + 425x3+ 415x4 + 500x5 + 405x6 s.t. x1 + x2 + x5 + x6 2 1 (Residence Hall A constraint) x1 + x2 + x3 2 1{Residence Hall B constraint} X4 + x5 + x6 2 1(Science building constraint} x1 + x4 + x5 2 1(Music building constraint} x2 + x3 + x4 2 1 (Math building constraint) x3 + x4 + x5 2 1 (Business building constraint} x2 + x5 + x6 2 1(Auditorium…arrow_forward
- The Virginia Department of Transportation is undertaking a construction project to widen a large section of interstate highway near Wahington, DC. The project includes the construction of a number of new bridges, interchanges and overpasses. The first step in the process is to appoint a project manager and develop a project team, whose members will be departmental employees and private consultants and operatives. The team for a project of this size also requires a large support staff with a variety of technical skills. Once the team is selected and the staff is in place, the next task is to select a primary contractor to manage and oversee the construction. The following activities are standard for the planning and scheduling of this process: Activity Activity description Time predecessor estimates (weeks) Activity a | b Select project management 2 2 a b Develop team recruitment process 3 a. Implement team recruitment process by 3. 6. Staff needs assessment 3 Staff recruitment…arrow_forwardproject operation management please answerarrow_forward11 Midwest University is installing a high-speed intranet system. The following network shows the possible network connections among the offices. Distances between offices are shown in thousands of feet. Develop a design for the intranet system that will connect all offices. Provide the design that minimizes the total length of connection among the eight offices. 3 4 0.5 feet 3 1.5 1.2 minimum length of connections: Show your work. Upload your minimal spanning tree. Choose File No file chosen 3 2.5 8arrow_forward
- Treksha and the team want to ascertain the expected activity time of the installation of the machines in their manufacturing backyard in which the optimistic time was 7 days , pessimistic time was 20 days and the most likely time is 12 days , calculate the same ?arrow_forwardMaladroit Cosmetics Company The plant manager of the Maladroit Cosmetics Company must replace several of her filling machines that have become obsolete. She is about to take delivery of six machines at a total cost of $4 million. These machines must be installed and fully tested in time to be used on a new production line scheduled to begin operation in 6 months. Because this project is important, the plant manager would like to devote as much time as possible to the job, but she is currently handling several other projects. She thinks she has three basic choices: (1) she can handle the project informally out of her office; (2) she can assign the project to a member of her staff; or (3) the company that manufactures the machines can handle the installation project for a fee close to what the installation would cost Maladroit. Questions A. Would you classify the work of installing the six machines as a project? B. Why or why not? C. Explain how the PM might trade off one of the…arrow_forwardThe university administration would like to add some additional parking locations. To make everyone happy, they would like each building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces). The university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project. In addition to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10). To help with the decision, the management science department formulated the following linear programming model: Min 430x1 + 455x2 + 460x3+ 445x4 + 355x5 + 360×6 S.t. x1 + x2 + x5 + x6 > 1 (Residence Hall A constraint) x1 + x2 + x3 > 1 (Residence Hall B constraint) x4 + x5 + x6 2 1 (Science building constraint} x1 + x4 + x5 2 1 (Music building constraint} x2 + x3 + x4 > 1 (Math building constraint} x3 + x4 + x5 2 1 (Business building constraint) x2 + x5 + x6 2 1…arrow_forward
- The university administration would like to add some additional parking locations. To make everyone happy, they would like each building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces). The university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project. In addition to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10). To help with the decision, the management science department formulated the following linear programming model: Min 350x₁ + 355x2 + 400x3+ 435x4 + 400x5 + 480x6 S.t. x₁ + x2 + x5 + x6 ≥ 1{Residence Hall A constraint} x1 + x2 + x3 ≥ 1 {Residence Hall B constraint} 1 {Science building constraint} X4 + x5 + x6 ≥ x1 + x4 + x5 ≥ 1 {Music building constraint} x2 + x3 + x4 ≥ 1 {Math building constraint} x3 + x4 + x5 ≥ 1 {Business building constraint} x2 + x5 + X6 ≥ 1…arrow_forwardThe university administration would like to add some additional parking locations. To make everyone happy, they would like each building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces). The university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project. In addition to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10). To help with the decision, the management science department formulated the following linear programming model: Min 500x1 + 360x2 + 480x3+ 355x4 + 370x5 + 430x6 s.t. x1 + x2 + x5 + x6 2 1{Residence Hall A constraint} x1 + x2 + x3 2 1{Residence Hall B constraint) X4 + x5 + X6 2 1 (Science building constraint) x1 + x4 + x5 2 1 {Music building constraint} x2 + x3 + x4 2 1 {Math building constraint} x3 + x4 + x5 z 1 {Business building constraint) x2 + x5 + x6 2 1{Auditorium…arrow_forward2. Garysburg Fire Rescue (GFR) is considering three different locations for a new fire station. Using factor rating, GFR has created the following table. When rating these locations, GFR used a 5- point scale, where 1 means unfavorable and 5 means excellent. (Noteshaper Scenario #26) Factor Weight Location 1 Location 2 Location 3 Cost of land 0.5 4 1 Accessibility 0.3 2 2 4 Size of Land 0.2 1 3 3 a. Which of the following statements are true and which are false? I. The cost of the available land parcel is of the greatest importance in this analysis. I. Location 2 has better accessibility than location 3. GFR considers the size of the available land parcel to be the least important III. factor.arrow_forward
arrow_back_ios
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 EducationOperations 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 LearningProduction 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.