An assembly line with

$1$

$7$

$$tasks is to be balanced. The longest task is

$2$

$.$

$4$

$$minutes$,$ and the total time for all tasks is

$1$

$8$

$$minutes$.$ The line will operate for

$4$

$5$

$0$

$$minutes per day.

a

$.$

$$what are the minimum and maximum cycle times?