Obsidium shuffle, redux

We all know the obsidium shuffle. We have grinded countless thousands of ore down with our prospecting macro. We suffered under the nerf to the cut gem price and we are going to suffer even more once they change the price of uncut gems to 50 silver also. Perhaps it might be time to try a different way of shuffling. Lets look at how much profit there is in the carnelian market.

Each carnelian can turn into either 2-3 GCE or 3-5 hypnotic dust not counting a proc from the bountiful bags perk. I'll try to make a formula that figures out how much profit you can make from buying up just carnelians instead of all of the ore.

NP+  N(1.42) <  2.5(N/3)(GCE)          P= price of carnelian, N= number of carnelians
NP+ N(1.42) < 4(N/3)(dust)               GCE= price of greater celestial essence,
                                                            dust= price of hypnotic dust
The 1.42 is the price of the jeweler setting, dividing N by 3 on the right side is to show the number of disenchants that you actually do.

So first look at your auction house. Look at the prices of greater celestial essences,hypnotic dust and carnelians. Take these prices and input them into the equation. In order to make a profit from disenchanting carnelians  one of the math formulas must be true.

Let's look at an example of the equations on my server.
Carnelians are at 9g per, lets say i buy 3 stacks worth, so 60 of them. GCE are at 34g per and dust is at 7g per. So the equation would look like this

 60(9) + 60(1.42)<  2.5x (60/3)(34)
625.2< 1700                              So the equation proves true if you got pure GCE

60(9) + 60(1.42) < 4(60/3)(7)    The equation doesn't prove that you would make a profit if  
625.2< 560                                  you got  pure dust.

Edit: Thanks to Flux tipping me on the DE table ratio, the equation can made to be read as

625.2< 1700(.75) + 560(.25)
625.2< 1415

So the equation does seem to work somewhat and it shows that it can profitable to just buy carnelians by themselves.

Pros- A good way to look quickly at potential profits, far faster than prospecting obsidium

Cons- Does not take into account RNG, does not take into account undercutting on auction house and auction house deposit costs. Leads to a shortage of hypnotic dust eventually.

That's all for now, thanks for reading.