Two computers C$1$ and C$2$ with clock frequency $100$ MHz run the same programme, which includes the following commands:

$\backslash$table$[[$Type of command,$\frac{\frac{?}{?}\%\text{M}\text{i}\text{x}}{?},$CPI of C$1,$CPI of C$2],[$FP Addition,$20,8,20],[$FP Multiplication,$10,10,25],[$FP Division,$8,8,62],[$Non FP instructions,$62,3,4]]$

a$)$ Calculate the MIPS for C$1$ and C$2.[1+1=2$ Marks$]$

b$)$ Calculate the CPU program execution time on the computers C$1$ and C$2,$ if there are $14000$ instructions in the program? $[1+1=2$ Marks$]$

c$)$ Find the ratio of average CPI if two independent improvements are made in $C2,$ if in $1^{st}$ case FP multiplication is improved so that it takes only $10$ cycles and others all remaining the same or in the $2^{nd}$ case FP division instruction is improved and it takes only $14$ cycles. Marks$]$