Your array is formatted incorrectly.
$author_query_id = array('author' => $author_id, 'showposts' => '1', 'post_type'=> 'bedrijven', 'post_status' => 'any');
I removed the =
from your author
key.
I'm sure you've seen the WP_Query documents below, but here is a link to help in the future, just in case.