Ramesh Srinivasan decides to install an automatic coffee vending machine outside his coffee shop to reduce the number of people standing in line inside. Srinivasan charges$$ $$3\mathrm{.}50$ per cup.$$ However, it takes too long for people to make change. The service time is a constant $4\mathrm{.}00$minutes$,$ and the arrival rate is $12$ per hour $($Poisson distributedLOADING...$).$ Part $2$a$)$ The average wait time in the lineequals $8\mathrm{.}00$ minutes. $($Round your response to two decimal$$ places.$)$ Part $3$b$)$ The average number of customers waiting in the lineequals $1\mathrm{.}600$ customers. $($Round your response to three decimal$$ places.$)$ Part $4$c$)$ Srinivasan raises the price to$$ $$5$ per cup and takes $60$ seconds off the service time.$$ However, because