What institutions would produce my film?

I believe our thriller would be produced by a film company such a Lionsgate which is the studio with a key presence in the production of films and television programs. Lionsgate made the saw franchise this showed me that the firm had links to the horror industry and was experienced in producing them. I believe that lionsgate would produce my film because it is very much like saw for example in the first saw the two main characters wake up in an abandoned and grotty bathroom and in my thriller we had the idea of our main protagonist waking up in an abandoned bedroom.