A company is producing a single product and is selling it through five agencies situated in different cities. All of a sudden, there is a demand for the product in another five cities not having any agency of the company. The company is faced with the problem of deciding on how to assign the existing agencies to dispatch the products to needy cities in such a way that the total travelling distance is minimized. Determine the optimum assignment schedule. The distance between the surplus and deficit cities (in K.M.) is given below.     Surplus Cities     Deficit Cities        A1 B1 C1 D1 E1 A 7 5 9 8 11 B 9 12 7 11 10 C 8 5 4 6 9 D 7 3 6 9 5 E 4 6 7 5 11

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...
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  1. A company is producing a single product and is selling it through five agencies situated in different cities. All of a sudden, there is a demand for the product in another five cities not having any agency of the company. The company is faced with the problem of deciding on how to assign the existing agencies to dispatch the products to needy cities in such a way that the total travelling distance is minimized. Determine the optimum assignment schedule. The distance between the surplus and deficit cities (in K.M.) is given below.

 

 

Surplus Cities

 

 

Deficit Cities 

 

 

 

A1

B1

C1

D1

E1

A

7

5

9

8

11

B

9

12

7

11

10

C

8

5

4

6

9

D

7

3

6

9

5

E

4

6

7

5

11

 

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