Develop a solution for the following balancing problem, allowing a cucle of $5$

Develop a solution for the following line balancing problem, allowing a cycle time of $5$ minutes. $(7$ points$)|$

a$.$ Draw the precedence diagram for the set of tasks. $1$ pt $.$

b$.$ Calculate the theoretical minimum number of workstations. $1$ pt $.$

c$.$ Balance this line using the longest task time heuristic,... What tasks are assigned to which stations? $2$ pts$.$

d$.$ Does the solution have the minimum number of stations as found in part b$?$ Explain. $1$ pt$.$

e$.$ How much idle time is there, summed over all workstations? $1$ pt $.$

f$.$ What is the efficiency of this line? $1$ pt $.$

$\backslash$table$[[$Work Task,$\backslash$table$[[$Task Time$],[($seconds$)]],\backslash$table$[[$Task$],[$Predecessor$($s$)]]],[$A$,70,-],[$B$,60,$A$],[$C$,120,$B$],[$D$,60,-],[$E$,240,$C$.$D$],[$F$,100,$A$],[$G$,190,$E$.$F$]]$