Is it possible to share the product data accross multi sites?

I have a site using Woocommerce as a shopping cart and I want to setup multiple shops using Multisite. Each site owner can sell my products with their own branded website and get commission for each sale. I want to centrally control the product pricing, updates or adding new ranges.
If it helps, all the multi sites use sub-domains from the root URL.
HELP!!!! Please : )