Assume a network program can process $100$ packets per second and the interrupt handling of each incoming packet on the network interface card takes $10$ms$.$ You can assume the DMA, the memory, and the network interface card are extremely fast $($with zero latency and infinite bandwidth$).$

$($a$)$ What is the maximum throughput $($in terms of #of packets per second$)$ of the network program?

$($b$)$ Can the network program achieve the maximum throughput when we have $1,000$ packets per second arriving at the network interface card? Why or why not?