Five jobs are required to be completed in a two$-$machine flow shop and their respective needed times areshown in the next table. Each job must begin with machine A and finish with machine B$.$Time $($minutes$)$Job Machine A Machine B$156234369478592$

a$.$ Determine the sequence that will minimize the make$-$span.

b$.$ Construct a load Gantt chart for the resulting sequence and find machine As idle time.

c$.$ For the sequence determined in part a$,$ can machine As idle time be reduced by splitting some jobsin half? If so$,$ which jobs?

d$.$ Split jobs $3$ and $5$ and draw the new load Gantt chart.