Assume that individual stages of a datapath have the following latencies:

IF $200$ps$,$ ID $150$ps$,$ EX $150$ps MEM $5000$ps$,$ and WB $150$ps

a$.$ Compute the throughput without pipelining i$.$e instruction per second. $)$

b$.$ Compute the throughput with pipelining assuming no type of hazard is exist.

c$.$ Compute the time needed to complete each of the instructions LW$,$ SW$,$ and ADD.