Question 1 - Crashing 1) Given the following data, compute the slope and maximum number of times an activity can be crashed. Use the table provided. Also compute the total direct costs for durations 32, 31, 30, 29, 28, and 27 time-units. Assume indirect costs of $172 for 32, $155 for 31, $127 for 30, $125 for 29, $115 for 28, and $111 for 27 time-units, respectively. What are the optimum project duration and cost? Activity ID Slope Maximum crash time Direct costs Normal Crash Time Cost Time 7 50 5 Cost A 11 2 72 20 B 6 1 16 14 15 4 2 12 4 10 12 4 D 1 8 21 7 30 E 1oo wo 3 6 10 3 19 F 1 13 22 12 30 Western B D TIME 32 16 8 E 7 6 TOTAL DIRECT COST $ F C 12 13 B D TIME A E TOTAL DIRECT TIME B D TOTAL DIRECT COST E $ ACTIVITIES CHANGI C F TIME B D A E TOTAL DIRECT COST Revo Western TIME B D TOTAL DIRECT COST A E LA ACTIVITIES CHANGE F TIME B D TOTAL DIRECT COST A E Overall impact: 27 28 29 30 31 32 Project Duration Total Direct Total Indirect $111 $115 $125 $127 $155 $172 Grand Total Rev 0 Western Question 2 - Network Diagrams & PERT Variance Ote2 We are remodeling the da Vinci Lounge in the Spencer Engineering Building Activity Preceding Best Likely Worst Time est. (days) St. Dev activity A M B TE =(A+(4M)+B)/6 Ote =(B-A)/6 a. Rough in walls b. Redo Tim 11 Hortons c. run HVAC 3 4 6 a 4 6 12 15 30 b.c 12 15 20 d. rough in electrical e. complete flooring f. windows a 7 12 22 e 2 17 19 d.e 13 17 19 f 5 10 15 g. install fire alarm h. deliver lounge chairs 1. exposed ceiling reviews j. murals g 11 13 20 g,h 12 13 16 8 12 22 k. sound system A. Identify the critical path B. Identify the slack for each element C. Identify the most and least sensitive element D. Identify the predicted project duration (TE) E. Z is the number of standard deviations from the mean found in the statistical table below, and defined by the relationship Z = (Ts - Te) / SQRT(2012) where only critical path Ote are included in the summation. If the company's scheduled time to complete the work (Ts) is 70 days, then what is the likelihood that we finish the remodeling project on time? Express your probability response as a percentage rounded to the nearest integer z Value Probability z Value Probability -2 0.02 2 0.98 -1.5 0.07 1.5 0.93 -1 0.16 1 0.84 -0.7 0.24 0.7 0.76 -0.5 0.31 0.5 0.69 -0.3 0.38 0.3 0.62 -0.1 0.46 0.1 0.54 Revo