$($c$)$ A few patient data have to be manually reinputted into the hospital$$s system because physicians use an Electronic Health Record system that is not fully interfaced with the system used by the hospital. The clerk in charge of this task has just received a list of five patient charges. Their importance is evaluated in terms of their urgency of the treatment. The clerk wants to minimize weighted tardiness. The data input will start now, at time $0.$ Help the clerk to find the best sequence to achieve that objective using the FCFS$,$ SPT$,$

EDD and STR rules. $(12$ Marks$)$

Patient Record Arrival

Time $($min$)$ Processing Time $($min$)$ Due Date Weight

A $510659$

B $4203018$

C $3152015$

D $25157$

E $1124010$