Problem 3 Project Management A company needs to visualize the task dependencies in a complex project. Each node in the DAG represents a task, and an arrow from node 1 to node 2 means that the task represented by the first node must be completed before the task represented by the second node can be started. Here is a list of the tasks for one of the projects, along with the dependencies between them: • Task A: No dependencies • Task B: Dependent on Task A • Task C: Dependent on Task A • Task D: Dependent on Task B and Task C • Task E: Dependent on Task D Your task is use Python to draw a DAG to represent these dependencies, and then analyze it to determine the order in which the tasks must be completed.

Fig: 1