$9.$Assume in a single cycle implementation, the state elements have the following performance characteristics:

a$.$Find the cycle time needed for each possible instruction type $($R$-$Type, Iw$,$ Sw$,$beq, j$).$ What is the fixed clock cycle time?

b$.$ Now assume a program contains a mix of instructions as follows: What is the average variable clock cycle time?

c$.$Let the load be $30\%,$ Store is $5\%,$ R$-$Type is $60\%,$ Branch is $5\%$ and Jump is $0\%$

in question c$).$ What is the average clock cycle time?

d$.$ Compare the two average clock times you computed in questions c$)$ and d$)$ above and briefly comment on the relationship between the percentage of the instructions in the program and the clock cycle time of the instructions data path.