This section requires you to do calculations for the questions that follows. (Answer all questions.) QUESTION 3 - (40) 3.1. You have been grouped with other final year students completing undergraduate program at CUT and the requirement is that you complete a research paper for the term. The project is made up of activities A to K as shown below. (21) Page Task/Activities Predecessor Duration/Time (days) 2 A 4 - B 9 A 11 D B 5 E B 3 F C 7 G DF 3 H E, G 2 H 1 Using the information from the table above, you are required to: A. Draw the network diagram for the project B. Complete forward and backward pass for the project network C. Compute the slack for each activity in the project network and indicate the critical path D. Show all the paths of the project network and indicate the duration of the project (5) (9) (5) (2) 3.2. A holiday event project that you are currently in charge of appears to be running late. If nothing is done quickly, the project may not be completed before the holidays start. To save the project, use the information provided on the project below to compress one time unit per move using the least cost method. Assume that the total indirect cost of the project is R700 and that there is a savings of R50 savings per time unit reduced. Note: The correct normal project duration and total direct costs are provided. Activity Crash Cost (Slope) Maximum Crash Time A 0 Normal Time Normal Cost 2 100 B 100 1 3 200 40 1 5 200 D 60 2 3 200 E 20 2 5 200 F 40 1 4 150 G 0 2 150 B D 3 3 E G 2x 5 2x F 5 4 Project duration: 14 Total direct cost: R1200 Given the information above for the project, you are required to: Using the table provided below as the template, compress the project, calculate the total direct, indirect, and the project cost for each duration. What is the optimum cost time schedule for the project? What is the cost? (14) Crashing Step 3 Number of days crashed 1 day 2 days 3 days Paths and Duration 1 2 0 days 1. 2 None 3 Activity Crashed (Reduced) Crash Cost (Slope) Direct Cost 0 1200 Indirect Cost 700 Total Project Cost 1900 3.3. You are the project manager of your company's new expansion project in the Northern Cape province of South Africa. In week eight (8) you have the following project information available to you: earned value (EV) is R1300, an actual cost (AC) is R1 400, and a planned value (PV) is R1 220. Use the information to compute the schedule variance (SV), cost variance (CV) cost performance index (CPI), schedule performance index (SPI), and based on the CPI, what is the status of the project