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Neo4j and optimization

Node Clone

I'm newbie to neo4j and I'm trying to asses of new4j can solve simple optimization use case. 

in the use case there are  4 products with demand as a property and 4 supplier with a cost of crude oil as a property.

each supplier has a different cost and different percent production of each product e.g supplier 1
(0.2 fuel jet, 0.4 gasoline, 0.1 diesel, 0.3 Lubricant) 

the objective is to minimize cost and  and to meet the demand. 
please see attached.

Thanks in advance!

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