$($a$)$ Draw Gantt chart for the time quantums below. Quantum time: $5$

Average Turnaround Time $=109649\mathrm{.}57$

Average Waiting Time $=105879\mathrm{.}66$

Average Response Time $=109646\mathrm{.}34$

Number of interrupts: $22600$

Quantum time: $10$

Average Turnaround Time $=109633\mathrm{.}63$

Average Waiting Time $=105863\mathrm{.}73$

Average Response Time $=109627\mathrm{.}07$

Number of interrupts: $11290$

Quantum time: $15$

Average Turnaround Time $=109655\mathrm{.}27$

Average Waiting Time $=105885\mathrm{.}37$

Average Response Time $=109647\mathrm{.}87$

Number of interrupts: $7525$

Quantum time: $20$

Average Turnaround Time $=109633\mathrm{.}77$

Average Waiting Time $=105863\mathrm{.}87$

Average Response Time $=109622\mathrm{.}53$

Number of interrupts: $5638$

$$

Quantum time: $25$

Average Turnaround Time $=109610\mathrm{.}53$

Average Waiting Time $=105840\mathrm{.}63$

Average Response Time $=109594\mathrm{.}80$

Number of interrupts: $4505$

Quantum time: $30$

Average Turnaround Time $=109630\mathrm{.}66$

Average Waiting Time $=105860\mathrm{.}77$

Average Response Time $=109615\mathrm{.}7$

Number of interrupts: $3755$

Quantum time: $35$

Average Turnaround Time $=109629\mathrm{.}23$

Average Waiting Time $=105859\mathrm{.}34$

Average Response Time $=109612\mathrm{.}50$

Number of interrupts: $3217$

Quantum time: $40$

Average Turnaround Time $=109579\mathrm{.}27$

Average Waiting Time $=105809\mathrm{.}37$

Average Response Time $=109557\mathrm{.}37$

Number of interrupts: $2811$

$$

Quantum time: $45$

Average Turnaround Time $=109590\mathrm{.}23$

Average Waiting Time $=105820\mathrm{.}34$

Average Response Time $=109565\mathrm{.}84$

Number of interrupts: $2497$

Quantum time: $50$

Average Turnaround Time $=109555\mathrm{.}90$

Average Waiting Time $=105786\mathrm{.}00$

Average Response Time $=109527\mathrm{.}66$

Number of interrupts: $2245$

Quantum time: $55$

Average Turnaround Time $=109592\mathrm{.}16$

Average Waiting Time $=105822\mathrm{.}27$

Average Response Time $=109567\mathrm{.}77$

Number of interrupts: $2043$

Quantum time: $60$

Average Turnaround Time $=109622\mathrm{.}37$

Average Waiting Time $=105852\mathrm{.}47$

Average Response Time $=109594\mathrm{.}47$

Number of interrupts: $1871$