A shop works a $400-$minute day. The manager of the shop wants an output rate of $200$ units per day for the assembly line that has the tasks shown in the following table. Do the following:

Immediately Task Time Immediately Task Time

Task Predecessors $($minutes$)$ Task Predecessors $($minutes$)$

a b$,$ c$,$ d $0\mathrm{.}5$ g h $0\mathrm{.}4$

b e $1\mathrm{.}4$ h k $0\mathrm{.}3$

c e $1\mathrm{.}2$ i j $0\mathrm{.}5$

d f $0\mathrm{.}7$ j k $0\mathrm{.}8$

e g$,$ j $0\mathrm{.}5$ k m $0\mathrm{.}9$

f i $1\mathrm{.}0$ m $-0\mathrm{.}3$

a$-1.$ This part of the question is not part of your Connect assignment.

a$-2.$ Calculate the cycle time. $($Round the final answer to $1$ decimal place.$)$

Cycle time

minutes per unit

b$.$ Assign tasks according to "Assign the task with the most followers" rule. In the case of a tie, use "Assign the task with the longest time" heuristic rule. $($Do not leave any empty spaces; input a $0$ wherever it is required. Round the final answers to $1$ decimal place.$)$

Station Task Idle Time

$1$

$($Click to select$)$

$2$

$($Click to select$)$

$3$

$($Click to select$)$

$4$

$($Click to select$)$

$5$

$($Click to select$)$

c$.$ Calculate the percentage idle time. $($Round the final answer to the nearest whole number.$)$

Percentage idle time

$\%$