For each one of the following statements, state a reason$/$scenario to justify the statement. Assume all the programs run sequentially and one the same machine.

a$)$ One program with higher instruction count may be faster than another program with lower instruction count.

b$)$ A machine with higher MIPS may be slower in reality than another machine with lower MIPS.

c$)$ One program with lower CPI may be faster than another program with higher CPI.