A wrapping machine for wrapping trayed food products includes a wrap station at which trayed food products are wrapped, a film dispensing station for drawing out film over trayed food products at the wrap station and a conveying system for moving trayed food products along a defined path from an input station to the wrap station. A controller is operatively connected to operate the conveying system, components of the film dispensing station and components of the wrap station. The controller is configured as a state machine with sequential wrap stages, where each wrap stage must successfully complete before the controller initiates a next wrap stage.