Assume that the process starts empty, that set$-$ups at steps B and C can not begin until work arrives, that the production batch is $10$ units at each step, and the transfer batch between steps $1$ and $2,$ and between steps $2$ and $3$ is $1$ unit $($i$.$e$.,$ the unit completed at one step may be passed immediately to the next step$).$ How long does it take to complete a batch of $10$ units?

Assume that the process starts empty, that set$-$ups at steps B and C can not begin until work arrives, that the production batch is $10$ units at each step, and the transfer batch between steps $1$ and $2,$ and between steps $2$ and $3$ is $1$ unit $($i$.$e$.,$ the unit completed at one step may be passed immediately to the next step$).$ How long does it take to complete a batch of $10$ units?

$125$ minutes

$134$ minutes

$187$ minutes

$190$ minutes

None of the above