Using CRAFT, determine the current cost of layout and determine possible exchange alternatives, if unit transportation cost is $1. List all possible exchanges. Calculate the cost of exchanging A and C.
https://d2vlcm61l7u1fs.cloudfront.net/media%2F79f%2F79f14239-5692-4d65-9aa8-22a78029bb2e%2FphppnrjAq.png
Expert Answer
From To X1 Y1 X2 Y2 Distance
A C 5 15 15 5 14.14214
10 20 30 40 A B 5 15 25 15 20
A B A D 5 15 35 5 31.62278
C D B C 25 15 15 5 14.14214
B D 25 15 35 5 14.14214
C D 15 5 35 5 20
Current
Exchanges A B C D Distance A B C D
A 15 10 50 A 20 14.14214 31.62278
B 20 5 B 14.14214 14.14214
C 10 C 20
D D
Total Cost 2576.114
New From To X1 Y1 X2 Y2 Distance
10 20 30 40 A C 5 15 25 5 22.36068
A B A B 5 15 25 15 20
D C A D 5 15 5 5 10
B C 25 15 25 5 10
B D 25 15 5 5 22.36068
C D 25 5 5 5 20
Exchanges A B C D Distance A B C D
A 15 10 50 A 20 22.36068 10
B 20 5 B 10 22.36068
C 10 C 20
D D
Total Cost 1535.41
So all possible exchanges are:
10 20 30 40
A B
C D
10 20 30 40
A B
D C
10 20 30 40
B A
D C
10 20 30 40
B A
C D
10 20 30 40
C D
B A
10 20 30 40
D B
A C
10 20 30 40
C D
A B
10 20 30 40
C D
B A