Q$7)(4$ Points$)$ Answer the following $($show all calculations clearly or no credit will be given$)$:

A certain application requires the transmission of VGA video with a resolution of $640480$ pixels at $60$ Hz $($frames $\frac{?}{sec}).$ In order to transmit colored video, each pixel needs to be represented by $3$ bytes. Determine the following:

$(1$ point$)$ Assuming no packet time and data overhead, what is the minimum link bandwidth$/$throughput required to support colored VGA transmission?

$(1$ point$)$ If black$/$white video requires only $1$ byte$/$pixel$,$ what is the new minimum bandwidth required?

$(1$ point$)$ Now, assuming you have a $200$ Mbps link and compressible video, by how much $($in percentage$)$ would you have to compress the colored video to meet the link requirements?

$(1$ point$)$ For the same $200$ Mbps link, by how much would you have to compress the video to achieve $80\%$ utilization of the link? Calculate for both colored and black$/$white video.