a$)$ Consider a stream processing system design, where the maximum throughput among the

producers in the system is $5M\frac{B}{sec}.$ Given that it can support $14$ consumers and the

expected throughput for the system is $42GB/$minute$.$ Estimate the number of producers

that can be associated with the system.

$[3+4+3=10$ Marks $]$

b$)$ Consider the aspects of long$-$term storage and message writing mechanism. If the average

message size is $64kB,$ discuss suitable message writing strategies for each of the

following scenarios where the data ingestion rate $(R_i)$ and data processing rate $(R_p)$ are

given below:

$($i$)R_i=240M\frac{B}{h}r,R_p=20M\frac{B}{m}in$

$($ii$)R_i=120M\frac{B}{m}in,R_p=24M\frac{B}{h}r$

c$)$ In a data processing system, the data ingestion rate is $16M\frac{B}{sec}$; The data processing rate

is: $240M\frac{B}{m}in.$ The system is refreshed hourly with at$-$most once delivery semantics. If

the average message size is $20kB,$ estimate the storage space needed for Data flow layer

and discuss whether horizontal scaling is needed for the layer.