Problem #1 Seth is the personnel director at a consulting company. He is considering a leadership program for managers at a client company. There are a number of activities that must be completed before the program can be conducted, and he has the time needed for each activity (below). • Develop a network for this problem. • Determine the total project completion time and the critical path(s). Activity Immediate Predecessors Time (Days) A B C D 2 5 1 10 E A, D 3 C 6 G E, F 8

5. DISCRETEMATH: Scheduling The diagram below shows the activity network for a project, where activities A to G are represented by vertices and the duration of each activity (in hours) is represented by the numbers beside each edge. 12 Start Finish 13 Calculate the EARLIEST start time and LATEST start time for each activity in the network. (i) je (ii) Hence, determine the a) critical path of the network b) LATEST finish time for Activity E. 3.

Draw Activity diagram for this scenario When the employee ( customer to us ) encounters an issue he cant solve he goes to tawasol ( the company ticketing system ) and open a ticket for the issue in the correct section and select the issue genre, explain it and add his contact info then the ticket get assigned automatically by the system to the right IT support team, from there the team in head quarter office in Riyadh assign the task to specific member based on geographic location of the issue and the nature of the issue and the competence needed. After that the team member can see it in his/her ticketing system and can assign the status of the process is it active, pending for some reason or resolved . Then the assigned member will contact the customer to further understand the issue and decide if it could be done remotely or physically, if remotely then the assigned member need to contact the network team to allow access for remote applications on that network. Then when the issue is…

Professional and Scientific Staff Management (PSSM) is a unique type of temporary staffing agency. Many organizations today hire highly skilled technical employees on a short-term, temporary basis to assist with special projects or to provide a needed technical skill. PSSM negotiates contracts with its client companies in which it agrees to provide temporary staff in specific job categories for a specified cost. For example, PSSM has a contract with an oil and gas exploration company in which it agrees to supply geologists with at least a master’s degree for $5,000 per week. PSSM has contracts with a wide range of companies and can place almost any type of professional or scientific staff members, from computer programmers to geologists to astrophysicists. When a PSSM client company determines that it will need a temporary professional or scientific employee, it issues a staffing request against the contract it had previously negotiated with PSSM. When PSSM’s contract manager receives…