Consider the following project with activities A through G. a) (10 points) Label the activities on the arcs below. Activity B has been labeled for you. Also note the dashed arc which represents a dummy activity. Using the critical path method, calculate the project completion time and the critical path(s) of the project. b) (5 points) What is the longest amount of time activity C can take without changing the projection completion time? (15 points) Suppose now that we are given the following crashing information. For each week that we are able to reduce the project completion time, we are paid an extra \$750. Using the method learned in class, crash the project for as many weeks as it is profitable to do so. Clearly show which activities you will crash for each week, the cost of crashing for each week, and all of the critical paths at the end of each week. You may use the next two pages if necessary to complete this