Unignited, and therefore externally driven, tokamak plasmas can be the core for economic tokamak power reactors over a significant range of machine sizes where the plasma amplification factor Q exceeds 15. In such driven systems, high-Z impurity levels from 2 to 4 times that in ignited plasmas can be tolerated. Large driven tokamaks with plasma currents greater than 4 MA achieve the highest Q-value by operating with a 50-50 D-T plasma using the minimum amount of injected power to maintain the plasma in energy equilibrium. Driving large tokamaks with injection can also be used to extend the reactor burn time should impurities accumulate. For smaller tokamaks, the optimum Q is obtained by injecting deuterium neutral beams at maximum power onto a pure tritium plasma and operating the device in the two-energy-component mode described by Dawson, Furth and Tenney. A natural connection between these two operating modes is thus obtained. The potential benefits of low-Z liners in tokamaks are also studied and it is found that the tolerable impurity level of a contaminant like carbon can be an order of magnitude larger than the tolerable level of impurities like Fe or Mo.