So the entire economy can be modeled as a single fixed integer linear program and matrix? The entire economy in a single NP complete problem? It'll be absolutely massive, have to be updated continuously in response to changes in conditions, like earthquakes, new technology coming into existence, and other fun monkey wrenches, and model tons of non-linearities (remember the L in LP), feedback effects (that L again), and then solving the thing (NP-complete).
LPs are fine for modelling and improving distribution of goods in lots of organizational situations. But run an entire economy? I'll see it when your acolytes produce a plausible research model after the 100 year research program you fund.
Predicting the stock market should be easier. Maybe try that first as a plausible demonstration?
I mean at least go for a plausible complexity class for modelling all of humanity like PSPACE-complete. This is really the part that bothers me.