Complete the two problems below. Develop a small example in your life or work experience using project management techniques consisting of no more than 10 activities and illustrate the ideas, rules, and mechanics of forward and backward passes through the project network to compute the critical path and total project time. Some examples include planning a wedding or vacation, setting up a sports tournament, camping out, or planning a dinner for a professional society or university organization. List the activities and events that comprise the project, estimated activity times, and draw the precedence network. What problems did you encounter in doing this? Rozales Manufacturing Co. is planning to install a new flexible manufacturing system. The activities that must be performed, their immediate predecessors, and estimated activity times are shown below. Activity Activity Description Immediate Predecessors Estimated Time in Days A Analyze current performance None 4 B Identify goals A 2 C Conduct study of existing operation B 6 D Define new system capabilities B 7 E Study existing technologies B 8 F Determine specifications D 7 G Conduct equipment analyses C, F 12 H Identify implementation activities C 9 I Determine organizational impacts H 8 J Prepare report E, G, I 2 K Establish audit procedure H 3 L End J, K 0 Complete the following: Draw the project network. Find the critical path computing early- and late-start days, early- and late-finish days. Determine total completion time.