I wanted to dig deeper into this same question a few years ago, and I found this book fascinating and super enjoyable. I have no desire to be a producer, but it is packed with info about how Broadway works.
I don’t know why it’s so expensive now, but maybe you could find a used copy or one at your local library? It taught me so much.
https://www.amazon.com/dp/1495045161/ref=cm_sw_r_cp_awdb_imm_S680E0HC95W8FXBHFWK5