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A company has three production facilities S1, S2 and S3 with production capacity of 7, 9 and 18 units (in 100s) per week of a product, respectively. These units are to be shipped to four warehouses D1, D2, D3 and D4 with requirement of 5, 6, 7 and 14 units (in 100s) per week, respectively. The transportation costs (in $) per unit between factories to warehouses D1 D2 D3 D4 Supply (Availability) 19 30 50 10 7 S2 70 30 40 60 9 S3 40 8 70 20 18 Demand 7 14 34 (Requirement) are given in the table below:

A company has three production facilities S1, S2 and S3 with production capacity of 7, 9 and 18 units (in 100s) per week of a product, respectively. These units are to be shipped to four warehouses D1, D2, D3 and D4 with requirement of 5, 6, 7 and 14 units (in 100s) per week, respectively. The transportation costs (in $) per unit between factories to warehouses D1 D2 D3 D4 Supply (Availability) 19 30 50 10 7 S2 70 30 40 60 9 S3 40 8 70 20 18 Demand 7 14 34 (Requirement) are given in the table below:

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Find the feasible solution of the given problem using two methods:

  • Least Cost Method
  • Vogiel's Method/Penalty Method
A company has three production facilities S1, S2 and S3 with production capacity of 7, 9 and 18 units (in 100s) per week of a product, respectively. These units are to be shipped to four warehouses D1, D2, D3 and D4 with requirement of 5, 6, 7 and 14 units (in 100s) per week, respectively. The transportation costs (in $) per unit between factories to warehouses D1 D2 D3 D4 Supply (Availability) 19 30 50 10 7 S2 70 30 40 60 9 S3 40 8 70 20 18 Demand 7 14 34 (Requirement) are given in the table below:
Transcribed Image Text:A company has three production facilities S1, S2 and S3 with production capacity of 7, 9 and 18 units (in 100s) per week of a product, respectively. These units are to be shipped to four warehouses D1, D2, D3 and D4 with requirement of 5, 6, 7 and 14 units (in 100s) per week, respectively. The transportation costs (in $) per unit between factories to warehouses D1 D2 D3 D4 Supply (Availability) 19 30 50 10 7 S2 70 30 40 60 9 S3 40 8 70 20 18 Demand 7 14 34 (Requirement) are given in the table below:
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