Problem $3$:

Consider two different implementations, P$1$ and P$2,$ of the same instruction set with clock rates of $3GHz$ and $4GHz$

respectively. There are five classes of instructions $(A,B,C,D,$ and $E)$ in the instruction set. The average number of

cycles for each instruction class for $P1$ and $P2$ is as follows:

a$.$ What are the peak performances of P$1$ and P$2$ expressed in instructions per second? Remember that the

peak performance is defined as the fastest rate that a computer can execute any instruction sequence.

b$.$ If the number of instructions executed in a certain program is divided equally among the classes of

instructions except for class $A,$ which occurs twice as often as each of the others, which implementation is

faster and by how much faster?