in the two-iteg pricent forder queue and window queue), 3 (f.) (4 p(b) tley arrive, o (W/2 ( 3 pts) queues? (2 pts) (8) 0.25) (b) 022 (c) 0,68 (d) 0.71 2 Queues and Space Allocation (biervice) titnes and interntrivel times are expouentially dsgtributed. 7. Plint designoes are trying to detenmine how large the waiting ares in frout of the pri=s ghould be. How mnny parts should the wating afen be nble to accommodate, on averige? (4. pls) 8. Theplant manager has a goal that (on average) no more thu two parts wall be in the waiting area at any given time. How much faster (service time in minutes) will the stamping machine heve to perform in order to meet this goal? (Hint: to get an BLq2 parts we can simply ise the quadratic equation and solve for utilization, getting p0.72, before deriving out mew value for 2) ( 4pts) 9. Suppose the manager now has the option of purchasing a secoud machine (inistend of trying to make the one machine faster as in the above problem). Under the current conditions (=36 and =40 ). will adding the second machine (in the form of an M/M/2 queue) achieve the manager's goal of no more than two purts in the wating area? ( 4 pts) in the two-iteg pricent forder queue and window queue), 3 (f.) (4 p(b) tley arrive, o (W/2 ( 3 pts) queues? (2 pts) (8) 0.25) (b) 022 (c) 0,68 (d) 0.71 2 Queues and Space Allocation (biervice) titnes and interntrivel times are expouentially dsgtributed. 7. Plint designoes are trying to detenmine how large the waiting ares in frout of the pri=s ghould be. How mnny parts should the wating afen be nble to accommodate, on averige? (4. pls) 8. Theplant manager has a goal that (on average) no more thu two parts wall be in the waiting area at any given time. How much faster (service time in minutes) will the stamping machine heve to perform in order to meet this goal? (Hint: to get an BLq2 parts we can simply ise the quadratic equation and solve for utilization, getting p0.72, before deriving out mew value for 2) ( 4pts) 9. Suppose the manager now has the option of purchasing a secoud machine (inistend of trying to make the one machine faster as in the above problem). Under the current conditions (=36 and =40 ). will adding the second machine (in the form of an M/M/2 queue) achieve the manager's goal of no more than two purts in the wating area? ( 4 pts)