$($i$)$ A metallic cable assembly system consists $3$ cable segments, each segment with $40$dB attenuation, and $2$ repeaters $($amplifiers$)$ with $35$dB gain. Compute the overall attenuation$/$gain of the cable assembly. Show your work.

$($ii$)$ If some signal injected into above cable assembly has $30$dB signal to noise ratio $($SNR$)$ and each cable segment has $5$dB SNR and each repeater has $1$dB SNR$,$ then what is the SNR of signal at the other end of cable assembly.