show work pls

1. Consider two digital fuel pumps A and B that could be used in a single gas station. Pump A has a mean effective process time of 4 minutes with squared-coefficient of variation of 0.5 . Pump B has a mean effective time of 3 minute with squared-coefficient of variation of 5 . (a) Assume that the arrival rate of cars is 0.2 car per minute with squared-coefficient of variation of 1. Which pump will have a longer average cycle time? (Hint the number of machines, m, is 1.) ( Pump A) te: c22 ra: ca2= u : CTq : CT: ( Pump B) t0: ce22 ra: ca2. u. CTq : CT: (b) Now assume that the number of pumps in the gas station could be four (four pumps of A or four pumps of B). What will happen to cycle time if the arrival rate of cars is doubled? ( Pumps A) te: ce2 ra: c22 u. CTq : CT: (Pumps B) te: ce2. rs: Ca2. u: CTq: CT 1. Consider two digital fuel pumps A and B that could be used in a single gas station. Pump A has a mean effective process time of 4 minutes with squared-coefficient of variation of 0.5 . Pump B has a mean effective time of 3 minute with squared-coefficient of variation of 5 . (a) Assume that the arrival rate of cars is 0.2 car per minute with squared-coefficient of variation of 1. Which pump will have a longer average cycle time? (Hint the number of machines, m, is 1.) ( Pump A) te: c22 ra: ca2= u : CTq : CT: ( Pump B) t0: ce22 ra: ca2. u. CTq : CT: (b) Now assume that the number of pumps in the gas station could be four (four pumps of A or four pumps of B). What will happen to cycle time if the arrival rate of cars is doubled? ( Pumps A) te: ce2 ra: c22 u. CTq : CT: (Pumps B) te: ce2. rs: Ca2. u: CTq: CT