You are on the design team for a new processor. The clock of the processor runs at

$200$ MHz$.$ The following table gives instruction frequencies for Benchmark B$,$ as well as

How many cycles the instructions take, for the different classes of instructions. For this

problem, we assume that $($unlike many of today's computers$)$ the processor only executes

one instruction at a time.

Instruction Type Frequency Cycles

Loads & Stores $30\%6$ cycles

Arithmetic Instructions $50\%4$ cycles

All Others $20\%3$ cycles

a$)$ Calculate the CPI for Benchmark B assuming that there are $100$ instructions to

execute.

b$)$ Calculate how much time the processor would take to execute these $100$ instructions.