The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to clean only certain buildings. There are eight possible crews to choose from in this case. The goal is to minimize costs while making sure that each building is cleaned. The management science department formulated the following linear programming model to help with the selection process. Min 250x1 + 260x2 + 240x3+ 300x4 + 230x5 + 270x6 + 280x7 + 250xg s.t. x1 + x2 + x5 + x7 2 1{Building A constraint) X1 + x2 + x3 2 1{Building B constraint) X6 + xg 2 1{Building C constraint) X1 + X4 + x7 2 1{Building D constraint) x2 + x7 Z 1{Building E constraint) x3 + Xg 2 1{Building F constraint) X2 + x5 + x7 2 1{Building G constraint) x1 + X4 + X6 2 1(Building H constraint) X1 + X4 + ×g 2 1{Building I constraint) X1 + x2 + X7 2 1{Building J constraint) S 1, if crew j is selected 10, otherwise 2; = Set up the problem in Excel and find the optimal solution. a. What is the cost of the optimal crew assignment? Cost of optimal crew assignment

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 68P
icon
Related questions
Question
2
The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to clean only certain
buildings. There are eight possible crews to choose from in this case. The goal is to minimize costs while making sure that each
building is cleaned. The management science department formulated the following linear programming model to help with the
selection process.
Min 250x1 + 260x2+ 240x3+ 300x4 + 230x5 + 270x6 + 280x7 + 250xg
s.t. x1 + x2 + x5 + x7 2 1{Building A constraint}
X1 + X2 + x3 1{Building B constraint)
X6 + xg Z 1{Building C constraint)
X1 + X4 + x7 2 1{Building D constraint)
x2 + x7 Z 1{Building E constraint)
X3 + Xg 2 1{Building F constraint)
> 1 (Building G constraint)
X1 + X4 + x6 2 1 (Building H constraint)
X1 + X4 + Xg 2 1 (Building I constraint}
X1 + X2 + x7 1{Building J constraint)
X2 + X5 + X7
| 1, if crew j is selected
"j-l0, otherwise
Set up the problem in Excel and find the optimal solution.
a. What is the cost of the optimal crew assignment?
Cost of optimal crew assignment
Transcribed Image Text:2 The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to clean only certain buildings. There are eight possible crews to choose from in this case. The goal is to minimize costs while making sure that each building is cleaned. The management science department formulated the following linear programming model to help with the selection process. Min 250x1 + 260x2+ 240x3+ 300x4 + 230x5 + 270x6 + 280x7 + 250xg s.t. x1 + x2 + x5 + x7 2 1{Building A constraint} X1 + X2 + x3 1{Building B constraint) X6 + xg Z 1{Building C constraint) X1 + X4 + x7 2 1{Building D constraint) x2 + x7 Z 1{Building E constraint) X3 + Xg 2 1{Building F constraint) > 1 (Building G constraint) X1 + X4 + x6 2 1 (Building H constraint) X1 + X4 + Xg 2 1 (Building I constraint} X1 + X2 + x7 1{Building J constraint) X2 + X5 + X7 | 1, if crew j is selected "j-l0, otherwise Set up the problem in Excel and find the optimal solution. a. What is the cost of the optimal crew assignment? Cost of optimal crew assignment
Set up the problem in Excel and find the optimal solution.
a. What is the cost of the optimal crew assignment?
Cost of optimal crew assignment
b. Which crews are assigned to work?
Crew 1 will
Crew 2 will
Crew 3 will
Crew 4 will
Crew 5 will
Crew 6 will
Crew 7 will
Crew 8 will
Transcribed Image Text:Set up the problem in Excel and find the optimal solution. a. What is the cost of the optimal crew assignment? Cost of optimal crew assignment b. Which crews are assigned to work? Crew 1 will Crew 2 will Crew 3 will Crew 4 will Crew 5 will Crew 6 will Crew 7 will Crew 8 will
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,