Real Compute offers real$-$time computing services. The company owns $4$ supercomputers that can be accessed through the internet. Their customers send jobs that arrive on average every $5$ minutes and the standard deviation of inter$-$arrival times is $5$ minutes.

Each job takes on average $12$ minutes of one of the supercomputers. Given the timesensitive nature of the calculations, if no supercomputer is available, the job is redirected to a supercomputer of a partner company called OnComp, which charges $$500$ per job to Real $*$ Compute $($OnComp always has supercomputer capacity available$).$