A work project consists of twelve activities labelled A through L. Upon being asked to specify the order in which jobs had to be done, the manager answered as follows: A, B and C are the first activities of the period and can start simultaneously and immediately. A and B precede D while B precedes E, F and H. Activities F and C precede G while E and H precede I and I. C,D,F and J precede k which in turn precedes L. Further I. G and L are the terminal activities of the project. The completion times of the various activities are listed here: Activity CDEF G H 1 J K L Time(days) 6 410113 14 6 9 2 7 5 (a) Draw a network diagram corresponding to this project: (b) Obtain the lengths of all the paths and determine critical path