The simplest thing to use would be the same circuit that you would use for a push button motor start, and just leave out the stop button.
The contactor would not normally be used to operate the dehydrator, but the start/reset button would have to be pressed once after each power outage whether the dehydrator had been operating or not.
The downside is that the contactor would have to be powered all the time.
With a smart relay interfaced to the controls of the dehydrator itself you might be able to reduce that power cost.
Basically, the start/reset button would be in series with the contactor coil and the button would be bridged by a normally open auxiliary contact on the contactor.
Just out of curiosity: Does the dehydrator have a motorized belt that could be a safety hazard? Or does he just want to force an operator to recalculate the time remaining or otherwise do something other than letting it complete its cycle?