Global Projects, Inc., is an engineering firm with approximately 500 engineers of different types. The company keeps records on all employees, their skills, assigned projects, and the departments they work in. New employees are hired by the personnel manager based on data in an application form and evaluations collected from other managers who interview the job candidates. Prospective employees may apply at any time. Engineering managers notify the personnel manager when a job opens and list the characteristics necessary to be eligible for the job. The personnel manager compares the qualifications of the available pool of applicants with the characteristics of an open job and then schedules interviews between the manager in charge of the open position and the three best candidates from the pool. After receiving evaluations on each interview from the manager, the personnel manager makes the hiring decision based upon the evaluations and applications of the candidates and the characteristics of the job and then notifies the interviewees and the manager about the decision. Applications of rejected applicants are retained for one year, after which time the application is purged. When hired, a new engineer completes a nondisclosure agreement, which is fled with other information about the employee. i) Draw a context diagram that represent all of the details of the system described in the above narrative. (10 marks) ii) Draw a DFD Level-0 that represent all of the details of the system described in the above narrative. Taki has been assigned as a project manager of a big project. His very first task is to create a PERT chart of the project. Based on the details given in Table 1, Activity A B D E F G H I j K Table 1 Preceding Duration (weeks) 9 2 A 12 5 B 6 B 8 CF 3 D H GI E, NON WOU NO 1 Draw a network diagram. (12 marks) ii) Which activities form the critical path? (5 marks) ii) How much slack exists at activities A and F? (5 marks) IV) What is the duration of the critical path