Neo4j and optimization

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!