Gilbert is considering adding a customization station. One worker is needed to run each station, and can handle $3$ clients per hour. Two stations can cover $7$ clients per hour and three stations can serve $10$ per hour. An average of one station is not in use at any time, and that is distributed in a Poisson distribution. This costs the company $$100$ per hour for each machine. Each worker gets $$50/$hour$.$ Which option should the company choose?

a$.1$ worker

b$.2$ workers

c$.3$ workers