Question

Given a MIPS processor working at a frequency of $2GHz$ with a single$-$level cache $($L$1$ cache$)$ divided into an instruction cache and a data cache. $2\%$ of the instructions miss, as well as $4\%$ of the data. $40\%$ of the instructions perform a memory access to the data cache, and the miss penalty is $400$ clock cycles $($for both instructions and data$).$ Assume that without cache misses, the average $\frac{C}{P}$I $($cycles per instruction$)$ of the processor is $1\mathrm{.}4.$ What will be the runtime of a program with ${10}^9$ instructions given this question's data?

A$.$ It is not possible to calculate with the given data $($missing general CPI$).$

B$.7\mathrm{.}7[sec]$

C$.7\mathrm{.}9[sec]$

D$.12\mathrm{.}7[$sec$]$

E$.15\mathrm{.}8[sec]$