e$)$ Given the following timing information, calculate the maximum throughput $($in MIPS$)$

Stage latencies: $IF=6ns,RD=5ns,Ex1=7ns,Ex2=7ns,$MEM$=6ns$ WB $=5ns.$

Pipeline flip$-$flops: $t_{\text{s}\text{e}\text{t}\text{u}\text{p}}=3ns,t_{\text{h}\text{o}\text{l}\text{d}}=1ns,t_{pd(c-q)}=4ns,t_{cd(c-q)}=1ns.$

Clock distribution: $t_{\text{s}\text{k}\text{e}\text{w}}=2$ ns$.$

Data dependencies stalls occur with a probability of $4\%$ and require $($on average$)1\mathrm{.}5$ bubbles.