Solve these problems in the appropriate queueing tab $($MMk$,$ Finite, or General$).$

Question #$1$

Customers call a toll free service number in a Poisson process at an average rate of $37$ per hour. It takes about $3$ minutes to serve a customer in an exponential service time. You consider hiring $2,3$ or $4$ operators. You pay an operator $$25$ per hour and a customer waiting in line costs you $$0\mathrm{.}05$ per minute in good will.

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a$.$ What is the total cost for hiring $2$ operators?

b$.$ What is the total cost for $3$ operators?

c$.$ What is the total cost for $4$ operators?

d$.$ How much money you save or lose by hiring a third operator compared with two operators?

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Question #$20\mathrm{.}3$

Create a table for arival rate of $30,31,...,39$ per hour listing the answers to a$.,$ b$.,$ and d$.$ in question $1$ for these calls per hour.

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