Merlin Park Hospital has 4 scan machines and 4 patients to scan. Each machine must be assigned to complete 1 scan. Each patient must be scanned only once by 1 machine. The time required for each machine to scan each patient is provided in the table below. Time (minutes) Patient 1 Patient 2 | Patient 3 Patient 4 Machine 1 42 15 24 21 Machine 2 36 18 15 Machine 3 21 24 9 27 Machine 4 12 18 30 Formulate the linear programming model of the assignment problem.

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
Merlin Park Hospital has 4 scan machines and 4 patients to scan. Each machine must be
assigned to complete 1 scan. Each patient must be scanned only once by 1 machine. The time
required for each machine to scan each patient is provided in the table below.
Time (minutes)
Patient 1 Patient 2 Patient 3 Patient 4
Machine 1
42
15
24
21
Machine 2
6
36
18
15
Machine 3
21
24
9
27
Machine 4
6
12
18
30
Formulate the linear programming model of the assignment problem.
Transcribed Image Text:Merlin Park Hospital has 4 scan machines and 4 patients to scan. Each machine must be assigned to complete 1 scan. Each patient must be scanned only once by 1 machine. The time required for each machine to scan each patient is provided in the table below. Time (minutes) Patient 1 Patient 2 Patient 3 Patient 4 Machine 1 42 15 24 21 Machine 2 6 36 18 15 Machine 3 21 24 9 27 Machine 4 6 12 18 30 Formulate the linear programming model of the assignment problem.
Expert Solution
steps

Step by step

Solved in 2 steps with 5 images

Blurred answer
Similar 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.