Real Compute $($Q$1$Q$5)$

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 time$-$sensitive 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$).$

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Q$1.$ What is the demand in terms of no of jobs$/$hour$?.$

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Q$2.$ What is the probability that an incoming job has to be redirected to the partner Oncomp?

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Q$3.$ On average, how many jobs are processed by Real Compute per hour?

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Q$4.$ How much does Real Compute pay on average to OnComp $($in $ per hour$)$ per hour? Circle the closest answer.

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Q$5.$ If Real Compute leases a new supercomputer at $$300/$hour to reduce their payments to OnComp, what is the net savings in dollars per hour, after including the leasing cost of a new supercomputer?

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