Experience selling t-shirts online with just-in-time production?

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I have a market to sell these t-shirts to. It is exactly one type of t-shirt, same colours and everything. It's sort of a school tradition that I know I can monetize off of, and I have proven the demand. I just want to set up an online platform to sell to customers before the school year starts. But I want a system where people place the orders and pay online, I collect the orders online in various sizes, and as the orders are made, have the t-shirts manufactured and shipped to them. In the past, I have just gotten shirts printed in bulk, hoped I had roughly the right amount of each size, and sold them at a street fair. Does anyone have experience with e-commerce, t-shirt selling, just-in-time production that could help me out?

I want a platform where customers visit a very simple page that displays the t-shirt, they pick a size, enter their info to order it, pay, and then the shirt gets manufactured and delivered to them.

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