Task Prioritization and Scheduling System

Develop a task prioritization and scheduling system that can help managers prioritize and schedule tasks for their team members based on the team's workload, deadlines, and availability. The system should be able to take in data on the team's tasks, deadlines, and availability, and then suggest the most critical tasks to prioritize and schedule first. The system should also be able to take into account any dependencies between tasks and ensure that the most critical tasks are completed first. The system should be able to generate a Gantt chart or similar visual aid to help team members visualize their tasks and deadlines. The system should also be able to send reminders and notifications to team members as deadlines approach. Please make sure that the system is user-friendly and easy to use, even for those without extensive experience with task management systems. The system should also be able to integrate with popular calendar and task management tools such as Google Calendar and Trello. Assume that the system will be used by a team of 5-10 people and that the team's workload and deadlines will be entered into the system on a daily basis. The system should be able to handle a high volume of tasks and deadlines and should be able to generate the suggested priorities and schedule in a reasonable amount of time.