Question $2)(21$ points$)$ Consider the network archilecture in the figure below consisting of a $100$ Mbps Ethemet, an Ethernet switch $($without cut Hhrough switching functionality$),$ and a $10Mbps$ Ethemet. Suppose host A wants to send a large number of packets to host B$.$ Each packet has $1,500$ bytes, i$.$e$.,12,000$ bits, and the $12,000$ bits include the data and all Ethernet header, frailer and preamble fields. Suppose this is the only active session on the network. Assume propagation delays and processing times are negligible, and acknowledgements are instantaneously retumed from host B to host $A$

a$)$ Find the round$-$trip time, $d.($Recall that the round$-$trip time is the length of time from when a host begins to transmit a packet until when the host receives an acknowledgement of the packet.$)$

b$)$ What is the maximum throughput in packets per second from $A$ to $B?$

c$)$ Suppose A uses a pipelined transmission protocol with a window size of $W=1$ packet. Find the throughput in packets$/$sec$.$

d$)$ Suppose the window size is $W=2$ packets. Find the throughput in packets$/$sec$.$