Problem 2 (5 marks): Consider a project for design, test, and integration of a complex engineering system consisting of several gubsystems. The project tasky information is provided in the table below. Time (days) ID Predecessor None A 1 2 1 C D E F 8 Description Systems design Subsystem A design Subsystem B design Subsystem C design Program A Program B Program C Subsystem A test Subsystem B test Subsystem Ctest Integration Integration test -N-NON-N-N 0 E G HIJ K L Similar to the questions in Problem 1, do the following: a) Draw the network diagram for the project Complete the forward and backward passes, and calculate the ES, EF, LS, LF times, 2 marles b) Identify the critical path. 0.25 marks How long will the project take7 Briefly elaborate on the sensititity of the network schedule. 0.25 marks di Calculate the total slack and free slack for all concritical artisities and insert a table of the total and free slack for the activities