Final answer:
The decision not to invest in a device that allegedly produces more energy than it consumes is correct, as it violates the first law of thermodynamics, which is the principle of energy conservation.
Step-by-step explanation:
An inventor claims that his device will take 100 J of thermal energy input and produce 200 J of electricity. The decision not to invest in such a device is indeed wise because it would violate the first law of thermodynamics, which is the law of conservation of energy. According to this law, the energy output of a system can never exceed the energy input. Thus, a device that claims to produce more energy than it consumes is not feasible as it would effectively be a perpetual-motion machine, which is an impossible concept under the current physical laws.