The homework study detailed below will be done in order to reinforce the project scheduling subject within the course. 1. Find a project with at least 20 activities in an area you will determine or create yourself. (Everyone must submit a different project) 2. Make sure that your project is realistic and defined within the scope of the topics of the course. 3. For each activity, identify priority relationships (your project should include some activities with more than one predecessors and successors), estimate durations (PERT, CPM), and costs (normal/crashed). 4. Create the network diagram using the representation of activities on the arrow (AOA) approach. 5. Create the network diagram with the representation of activities on the node (AON) approach. 6. Schedule your project with the Gantt chart using Microsoft Project software. 7. Schedule your project with the CPM method using QM for Windows and Lingo software, 8. Schedule your project using the PERT technique using QM for Windows. Examine your project under different scenarios stated below. a. Possibilities to be completed before or after a specific time, b. Before or after how much time it can be completed with a certain probability, c. Possibilities to be completed within a particular time frame 9. Determine the alternative project schedules using QM for Windows and Lingo software by making time-cost trade-offs for your project. a. Additional cost to be incurred in order to be completed as soon as possible, b. Additional cost to be incurred in order to be shortened for a certain period, c. How much the project can be shortened with a certain additional budget, d. If there is a certain additional benefit for shortening the project for one period, how much can the project be shortened