Question 1 (5 marks) A computer manufacture wants to develop a new computer. The design of the computer must first be conducted - this takes 20 weeks. Then the tasks of building a prototype and evaluating equipment can be done independently, in which building a prototype takes 5 weeks and evaluating equipment takes 7 weeks. The task of testing the prototype must follow building the prototype and takes 2 weeks. After completing both tasks of evaluating equipment and testing the prototype, the equipment report and the methods report must be prepared. The equipment report takes 5 weeks and the methods report takes 8 weeks. The final report can be prepared once both the equipment and methods reports are compelte and takes 2 weeks. a. Construct a network for this project, including finding the slack for each activity. (2 marks) b. Identify the critical path and determine the completion time for the project. (2 marks) c. By how many days can the task of writing the equipment report be delayed without changing the completion time of the project? (1 mark)