1- The network below represents a project being analyzed by Critical Path Methods. Activity durations are A = 5, B =2, C = 12, D =3, E5, F = 1, G=7. H = 2, 1 = 10, and J=6. B Start 10 a. What task must be on the critical path, regardless of activity durations? b. What is the duration of path A-B-E-H-J? c. What is the critical path of this network? d. What is the length of the critical path? e. What is slack time at activity H? f. What is the Late Finish of activity H? g. If activity C were delayed by two time units, what would happen to the project duration? 2. Three critical path activities are candidates for crashing on a CPM network. Activity details are in the table below. Crash Activity Normal Time Normal Cost Duration Crash Cost X 8 days $6,000 6 days $8,000 Y 3 days $1,800 2 days $2,400 Z 12 days $5,000 9 days S7,700 a. What is the crash cost per unit time for each of the three activities? b. Which activity should be crashed first to cut one day from the project's duration; how much is added to project cost? c. Which activity should be the next activity crashed to cut a second day from the project's duration; how much is added to project cost