Final answer:
The overcurrent device should be capable of handling at least 50 amperes.
Step-by-step explanation:
The largest overcurrent device to protect the autotransformer would be determined by the current rating of the autotransformer. In this case, the input current is 50 amperes. So, the overcurrent device should be capable of handling at least 50 amperes. It is important to select an overcurrent device that can handle the full load current to ensure proper protection.