Q$3)$ A company is concerned with testing of manufactures parts for surface defects. This involves inspection of the parts for cracks and surface defects using special testing equipment. The inspection process requires two men A and B$.$ Man A must complete his task before Man B can start. The testing times in hours are given in the Table below.

$\backslash$table$[[$Batch No$.,1,2,3,4,5],[$Man A$,15,10,25,25,5],[$Man B$,35,20,10,15,20]]$

a$)$ What is the optimal schedule for testing the five batches?

b$)$ What would be the completion time?

c$)$ Draw a Gantt chart for the optimal solution. Give a status report at $t=40$ hours.

d$)$ What would be the waiting times for the batches?

e$)$ What would be the Men idle times and percentage utilization?

f$)$ What would be the delivery times for the batches?