this 1 question has 4 parts. please answer all with solutions.

The project network diagram is shown below (under normal conditions, in days). D, 2 E, 4 F, 7 A, 2 B, 5 G2 C, 6 A. (5 points) Under normal conditions, determine the critical path(s) and the project duration. Please use two-pass (forward/backward pass) method. Critical Path(s): Project Duration: (don't forget time units!) B. (2 points) Suppose Jack, the only employee responsible for activity C wants to take a two-day break during days 3 and 4. Can you allow Jack to take the break and still complete the project without delay? Briefly justify your answer. C. (5 points) Suppose that activities B, C, E, F, and G can be crashed. The normal time, crash time, normal cost and crash cost are shown in the table below. What is the daily crash cost of each activity? (Crash time is the shortest possible activity time and crash cost is the cost associated with the crash time.) Activity Normal Time (days) Normal Cost ($) Crash Time (days) Crash Cost ($) Daily Crash Cost ($/day) B 5 150 4 200 C 6 330 3 420 E 4 400 2 480 F 7 250 3 290 G 2 175 1 200 D. (12 points) Suppose the management wants the project to be completed in 12 days. How can you achieve this goal at minimum cost? (The table size does not imply number of steps.) Project Duration (days) Critical Path(s) Crashable Tasks on Critical Paths (daily crash cost, crashable #days) Best Option [days to crash]