In a project activities are given as arrows from vertices A, B, C, D.E and F in a directed graph and the weeks taken for each activity are given as integers along the arrows (Mealy method). We need to start the project from A and end in F. Find the different paths from A to F and time taken in weeks for each path. (50 points) (For example if you are asked to compute paths from A to B there is only one path AB and time in weeks is 4 weeks and from A to D there are two paths AD which is 5 weeks and AB BD which is 10 (4+6) weeksjldentify the critical path among all the paths. (10 points) 4 4 4