A manager decides to design a production line for a job with $3$ tasks. The task times are $0\mathrm{.}5$ minutes, $1\mathrm{.}4$ minutes, and $0\mathrm{.}7$ minutes. What is the cycle time in minutes, for a single production line with no parallel activities?

$1\mathrm{.}4$

$0\mathrm{.}5$

$2\mathrm{.}6$

$0\mathrm{.}7$

$0\mathrm{.}867$