please help me with this ans PLEASE use the formula sheet that i attached and PLESE mention which formula were used for this question , Thank you

Full Name:, Show all work to get a chance for partial credit. 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) to: c2. ra: c22: v. CT% CT: ( Pump B) te: c02 ra: c22 v. CT4 : CT: (b) Now assume that the number of pumps in the gas station could be three (three pumps of A or three pumps of B). What will happen to cycle time if the arrival rate of cars is doubled? ( Pumps A) t: ce2 r: c02 u. CTQ : CT: (Pumps B) t : ce2: rs c32. u. CTd : CT: Formula Sheet ProcessRate=Ave.processingtime#ofresourcesu=mreraormrafem WIP=THCTW0=rbT0 THbest(w)=rb, when wW0 cTbest(w)=rbw,whenwW0 THworst(w)=T01CTworst(w)=wT0 THmep(w)=w+(W01)wrbCTmep(w)=T0+rbw1 c02Atece2=(t)2=tf+trtf=At0=c02+(1+cr2)A(1A)t0tr For m=1 : cd2=u2ce2+(1u2)cd2CTq=VUT=(2cd2+ce2)(1uu)te For any m : cd2=1+(1u2)(ca21)+mu2(ce21)CTq=VUT=(2ca2+ce2)(m(1u)u2(m+1)1)teWIPq=raCTqCT=CTq+teWIP=raCT For finite queueing systems: WIP=1uu1ub+3(b+3)ub+3TH=(1ub+31ub+2)raCT=THWIP