Final answer:
The management style that values workers and solicits their participation in decision-making is team management, which focuses on collaboration and group consensus.
Step-by-step explanation:
The management style associated with leaders who value their workers and solicit their participation is team management. This style of leadership is democratic, where leaders encourage group participation in all decision-making processes and work towards building consensus before taking any action. Team management is more relational and participative, empowering employees and fostering a collaborative environment. It contrasts with task management, which is more directive and focuses on the completion of specific tasks, and Management by Objectives (MBO), which emphasizes setting and achieving specific objectives. The Country Club Management style emphasizes creating a comfortable and friendly work environment, at the risk of lower productivity. Of these options, team management best encapsulates a leader's valuing of worker input and participation.