Question $7$: $(15$ marks$)$ Line Balancing

Fisher and Paykel Appliances, a NZ based company is working on a building washing machines for a European market. After conducting a market survey, the demand forecast for the year was estimated. To meet the demand, the production line should be capable of producing $400$ washing machines a day. A typical work shift for workers is $8$ hours per day. Select in alphabetical order. Balance the line to meet the demand.

a$.$ Draw precedence chart.

b$.$ Calculate the cycle time and theoretical minimum number of workstations to meet the demand.

c$.$ Calculate efficiency.

$\backslash$table$[[$Task$,$Task time $($SECONDS$),$Precedence$],[$A$,25,],[$B$,15,$A$,$B$],[$C$,20,$C$],[$D$,15,$D$],[$E$,40,$D$,$E$],[$F$,15,$E$,$ F$],[$G$,30,$G$]]$