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 + 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 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

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question
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
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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 6 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
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…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.