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$1.$ 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 $0\mathrm{.}5.$ Pump B

has a mean effective time of $3$ minutes with squared$-$coefficient of variation of $5.$

$($a$)$ Assume that the arrival rate of cars is $0\mathrm{.}2$ 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$)$

$$ t e: $\_\_\_\_\_\_\_\_\_$ c e$2$: $\_\_\_\_\_\_\_\_\_$ r a: $\_\_\_\_\_\_\_\_\_$ c a$2$: $\_\_\_\_\_\_\_\_\_$ u: $\_\_\_\_\_\_\_\_\_$

CTq: $\_\_\_\_\_\_\_\_\_$ CT: $\_\_\_\_\_\_\_\_\_$

$($Pump B$)$

$$ t e: $\_\_\_\_\_\_\_\_\_$ c e$2$: $\_\_\_\_\_\_\_\_\_$ r a: $\_\_\_\_\_\_\_\_\_$ c a$2$: $\_\_\_\_\_\_\_\_\_$ u: $\_\_\_\_\_\_\_\_\_$

CTq: $\_\_\_\_\_\_\_\_\_$ CT: $\_\_\_\_\_\_\_\_\_$