Final answer:
Option (A), The supporting management style in the Hersey and Blanchard model is one with low task involvement and high relationship focus, involving a great deal of mutual trust and support.
Step-by-step explanation:
According to the Hersey and Blanchard model, the management style known as supporting or as low task/high relationship is one where there's a good deal of mutual trust and the manager offers support and encouragement rather than giving instructions or closely monitoring tasks.
This implies that the leader provides direction, feedback and support, but less control over day-to-day activities, allowing employees more autonomy in the performance of their work.