Using webserver stress tool fires processes on server and the server fails (Laravel 5.1 application)

I'm trying to test my website with Webserver Stress Tool and I set it to simulate 50 users. This simulation is OK, but it fires processes on the server (Apache). When I try to test it with 200 users, the server fails, because it has limit of 60 simultaneous processes.

Does this mean that the server can't handle 200 users at the same time?!

This is what I got from the cPanel for the process (actually there are many processes fired just like this one with the only difference in the PID):

PID:922684 CPU:19.0 MEM:40.47MB /usr/local/php7.0/bin/php-cgi -c /home/myuser/php70-fcgi.ini

Any ideas on what can cause these processes to fire and how I can control them? I'm using the Laravel 5.1 framework if this matters.