# Transportation, Transshipment, and Assignment Problem

I need help trying to find the answer. I have tried about 20 different constraints and all of them are wrong. I don't know what I am doing wrong. Some of the constraints that I have tried are x4 + x6 = 175 and x6 + 0 = 175 just to give you an idea of the way that I am thinking. Evidently it is wrong. Please guide me in the right direction

The question is as follows:

In setting up the an intermediate (transshipment) node constraint, assume that there are three sources, two intermediate nodes, and two destinations, and travel is possible between all sources and the intermediate nodes and between all intermediate nodes and all destinations for a given transshipment problem. In, addition, assume that no travel is possible between source nodes, between intermediate nodes and between destination nodes and no direct travel from source nodes to destination nodes. Let the source nodes be labeled as 1, 2, and 3, the intermediate nodes be labeled as 4 and 5, and the destination nodes be labeled as 6 and 7. If there are 175 units demanded at destination 6, state the constraint for destination 6.

Your answer should look like :

x12 + x34 = 500, with the correct numbers filled in

https://brainmass.com/math/optimization/transportation-transshipment-assignment-problem-58575

#### Solution Summary

Problem setup and explanantion.