Optimal solution The model variables of this model are defined as Xij for i=1,2,3 and j=1,2,3,4. Which represent the amount of grain sent from silo i to mill j. A trucking company ships truckloads of grain from 3 silos to 4 mills. The offers, the demands and the unit costs of transport per load to the different routes are shown in the following table (image). The company wants to ship the trucks on the lowest-cost route. a) Write the value of the basic variables (Xij) that are obtained by applying the northwest corner method and indicate their associated cost (Z). Very important, you only have to match the variable to the value you obtain, for example X14=5, and separate each value of the variable by a comma and space, including, for example, the value of Z=6, which is obtained by evaluating. b) Say if the basic point obtained with the northwest corner method is optimal or not.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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4. Optimal solution
The model variables of this model are defined as Xij for i=1,2,3 and j=1,2,3,4. Which represent the amount of grain sent from silo i to mill j. A trucking company ships truckloads of grain from 3 silos to 4 mills. The offers, the demands and the unit costs of transport per load to the different routes are shown in the following table (image). The company wants to ship the trucks on the lowest-cost route.

a) Write the value of the basic variables (Xij) that are obtained by applying the northwest corner method and indicate their associated cost (Z). Very important, you only have to match the variable to the value you obtain, for example X14=5, and separate each value of the variable by a comma and space, including, for example, the value of Z=6, which is obtained by evaluating.

b) Say if the basic point obtained with the northwest corner method is optimal or not.

Silos
1
8
1
9
2
14
3
Demands 45
bo
2
Mills
6
12
9
20
3
10
13
16
30
4
9
7
5
30
(Offers
35
40
50
Transcribed Image Text:Silos 1 8 1 9 2 14 3 Demands 45 bo 2 Mills 6 12 9 20 3 10 13 16 30 4 9 7 5 30 (Offers 35 40 50
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