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What determines maximum network speed?

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Last Modified: 2012-05-09
This should hopefully be a quick and easy question to settle a bet. What determines maximum bandwidth of a network with the following configuration?

Primary router uses a 10/100 switch. Modem is connected directly to the router. The switch of the router has just a single connection into a gigabit switch. All hardwired devices are connected through the gigabit switch. Half the devices are DHCP, and half are static.

What is the maximum speed from device to device? Is it 1000 Mb or 100Mb? Does it matter if one device is DHCP and one is not or would they all have the same maximums since they are connected to the switch (or lowered because they are also connected to the router?)
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