PROBLEM $1|$

A program with the instruction mix given in the table below is executed on a computer

$\backslash$table$[[$Instruction class,$\backslash$table$[[$Clock Cycles per$],[$Instruction$]],$Number of Instructions$],[$Branch$,3,18\%],[$Store$,4,23\%],[$Load$,5,32\%],[$ALU$/$R$-$Type,$4,27\%]]$

a$)$ If the program execution time is $2s,$ and that the number of Load instructions is $130,000$ what is the clock cycle of the computer? At what frequency does the computer run?

b$)$ How much does the CPI for the Store instructions have to be reduced to gain $30\%$ reduction in execution time?

c$)$ Assume that a computer system has a processor with $16$ cores that can be used to solve a problem in parallel. $96\%$ of the code is parallelizable. Can the system achieve a speedup of $10?$ How many cores are needed for this performance?