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Supply, Demand and Optimal Solution for Transport and Transship

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A logistics specialist for Wiethoff Inc. must distribute cases of parts from 3 factories to 3 assembly plants. The monthly supplies and demands, along with the per-case transportation cost are:

Destination Assembly Plant
1 2 3 Supply
Source A 5 9 16 200
Factory B 1 2 6 400
C 2 8 7 200
Demand 120 620 60

What are the total monthly transportation cost for the optimal solution?
Put your answer in the form xxxx. do not include cents or dollar signs

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Mathematics, Linear Operators
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Transportation, Transshipment, and Assignment Problems

A logistics specialist for Wiethoff Inc. must distribute cases of parts from 3 factories to 3 assembly plants. The monthly supplies and demands, along with the per-case transportation cost are:

Destination Assembly Plant
1 2 3 Supply
Source A 5 9 16 200
Factory B 1 2 6 400
C 2 8 7 200
Demand 120 620 60

What are the total monthly transportation cost for the optimal solution?
Put your answer in the form xxxx. do not include cents or dollar signs

I am used to finding the optimal solution with just two products and solving for x in the first equation, x in the second equation then substituing either answer for x2 in either equation and substituting the answer in the maximation formula. I'm at a loss here. Obviously I am doing something wrong. Please guide me in the right direction to finding the answer.

Solution:

STEP1:

Transportation problem:

Source destination Plant ...

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