Looking for an app for automatic JIT supply chain ordering, any suggestions?

[LeanDean]

I'm  wanting to get a app that would allow us to take our customer orders as they come through Shopify, and automatically order the corresponding raw materials from our supplier (i.e. a Just-In-Time supply chain solution). 

I've already looked through the Shopify app store, and have reached out to several possibilities, but they don't appear to support the automated JIT ordering we're needing.

This is pretty basic Lean Supply Chain / JIT, so there's probably hundreds of apps already out the for this, just not on the Shopify App store. I'm sure it will require some integration work, but hoping it won't require custom development.

Any suggestion, either for specific apps, or maybe just some experts or communities who could point me in the right direction?