7. (15 pts) Arrivals to a reception desk at ProMedica have an interarrival time that follows the distribution shown in the next table. Service times follow another empirical distribution, also shown in the table. There is only one customer service representative who starts work at time 0. Interarrival Time pdf 2 0.2 3 0.25 0.4 5 0.15 4 Service Time 1 pdf 2 3 4 0.1 0.15 0.3 0.25 0.2 5 Using Problem 7.xlsx, conduct the simulation for the next 300 arrivals. Find average waiting time, average time in the system and total time in the system. If time in the system is valued at $30.00 per hour and the service representative is paid $15.00 per hour, what is the total cost of this system? You need to use Random Number Generation function in the Excel we covered in Appendix 5.3. 7. (15 pts) Arrivals to a reception desk at ProMedica have an interarrival time that follows the distribution shown in the next table. Service times follow another empirical distribution, also shown in the table. There is only one customer service representative who starts work at time 0. Interarrival Time pdf 2 0.2 3 0.25 0.4 5 0.15 4 Service Time 1 pdf 2 3 4 0.1 0.15 0.3 0.25 0.2 5 Using Problem 7.xlsx, conduct the simulation for the next 300 arrivals. Find average waiting time, average time in the system and total time in the system. If time in the system is valued at $30.00 per hour and the service representative is paid $15.00 per hour, what is the total cost of this system? You need to use Random Number Generation function in the Excel we covered in Appendix 5.3