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When compared the the total price of a Cat 65xx outfitted for real performance, the cost of the actual chassis is pretty small.The L2 performance of the Sup32 is not really better than a Sup2. It is cheaper for them to build and has more uplinks to ...
Sounds like the router and/or port is just too busy to handle the traffic. With a 50M burst then probably not the raw load if this is the only busy port in the router. What router mode, what else is it doing? Are you running CEF? What is the CPU ...
Try asking the switch what it sees...test cable-diagnostics tdr int gi0/1then after a few seconds:show cable-diagnostics tdr interface gigabitEthernet 0/1
The 3560 should not have a performance problem L3 routing anything on a 10/100 or a 10/100/1000 port. Way more hardware there than you can saturate in most real environments... Way more...