Normal Time Problem 1 You are the manager of a project to improve a billing process at your firm. The following table contains the data you will need to conduct crashing of the project duration. Indirect costs are $1,600 per week, and penalty costs are $1,200 per week after Week 12. Activity Immediate Predecessor(s) Crash Time (weeks) Normal (Direct) Cost Crash Cost (weeks) ($) ($) A 4 1 5,000 8,000 B 5 2 8,000 11,000 C A 1 1 4,000 4,000 Ꭰ B 6 3 6,000 12,000 E B, C 7 6 4,000 7,000 F Ꭰ 7 6 4,000 7,000 What is the optimum choice for project duration?

Example 2.39 Table 2.119 provides normal and crash times as well as normal and crash costs for the activities of a project. Table 2.119 Project activity details Activity Normal Time (Weeks) Normal Cost (Lakhs) Crash Time (Weeks) 1-2 3 5 2-3 4 8 2-4 3 4 2-5 8 S 3-6 4 3 4-6 6 2 5-7 5 10 6-7 3 7 1 3 2 7 2 4 4 1 Crash Cost (Lakhs) 9 14 6 6 5 3 14 10 Project Network Analysis-1 | 141 (a) Draw the network and find the critical path. (b) Using the above information, crash or shorten the activities step by step until the shortest duration is reached. MMM, VI Sem, Mumbai Univ, 2006

The following table details the tasks required for Indiana-based Frank Pianki Industries to manufacture a fully portable industrial vacuum cleaner. The times in the table are in minutes. Demand forecasts indicate a need to operate with a cycle time of 11 minutes. Fig. 1 Activity Activity Description rerormance Predecessors Time (mins) A Attach wheels to tub 5.0 B Attach motor to lid 1.6 Attach battery pack Attach safety cutoff 3.0 D 3.6 Attach filters 3.0 Fig. 2 F Attach lid to tub 2.0 A, E G Assemble 3.0 attachments H. Function test 3.7 D, F, G Final inspection Packing 2.0 J 2.0 a-b) One of the possible assignment of tasks to workstations is shown correctly in Fig. 2. The efficiency of the assembly line with 3 workstations = 99.31 % (enter your response rounded to two decimal Fig. 3 places). c) The goal is to have 100% efficiency. Is this possible? No BI d) The theoretical minimum number of workstations = (round your response up to the next whole number).

Activity Normal_time Crash_time Normal_cost Crash_cost Slack A 31 17 4800 6200 В 14 14 5500 5500 C 34 18 5100 6600 21 17 4500 6800 E 15 15 5300 5300 F 17 17 5300 5300 The table shows normal time, crash time, normal cost, crash cost and slack time of activities in a project. According to this table which activity must be crashed first? Assume there is only one critical path. (Only type the name of the activity, Example: A. @orsdemir. Copyrighted content. Cannot be posted.) 0ㅇ11 2 0

time (hours) pH 7.00 7.30 6.99 7.00 Assignment 1 2 7.12 7.25 7.12 7.20 3 720 7.16 720 7.16 4 6.98 7.00 6.94 7.00 5 6.99 6.99 6.99 6.98 6 7.00 6.93 7.02 6.93 7 6.92 7.00 6.92 7.02 Construct the X-Bar charts and R- charts 6.88 6.82 6.94 6.99 7.10 7.00 7.00 7.00 for reporting your results 10 721 7.02 721 7.04 11 7.01 6.86 7.01 6.90 12 6.86 6.98 6.90 6.98 13 6.90 7.00 6.87 7.00 14 7.01 7.04 7.01 7.05 15 7.00 6.95 7.00 6.99 16 7.09 7.20 7.03 7.20 17 6.89 7.14 6.87 7.15 18 6.98 6.80 6.98 6.89 19 7.00 6.90 7.00 6.90 20 7.20 7.00 723 7.00 21 7.04 7.03 7.08 7.00 22 6.90 6.92 6.98 6.92 23 7.00 7.00 7.00 7.00 24 7.00 6.97 7.01 6.98

Activity Preceded By ABCDEFG А ww ww A B,C D E BC F. G Expected Time Regular Crash 6 days 2 day 12 6 4 10 8 C 18 6 2 6 6 2 8 4 Direct Cost Regular Crash $2000 $3800 2000 10000 4000 4600 3900 5000 7600 16000 19600 2000 4000 1000 3400 2800 Requested: (a) Construct a network including the Early and Late Start and Finish times. (b) Identify the normal Critical Path(s) and the normal expected completion time (c) Can the project be crashed to last 18 days? Which activities should be crashed and at what additional cost?

Activity Normal_time Crash_time Normal_cost Crash_cost Slack A 31 28 4500 6700 2 13. 13 5800 5800 0 27 27 5000 5000 0 27 16 4000 6900 2 24 24 5500 5500 0 34 13 4500 6900 0 B C D E F The table shows normal time (in days), crash time (in days), normal cost (in dollars), crash cost (in dollars) and slack time (in days) of activities in a small construction project. According to this table which activity must be crashed first? Assume there is only one critical

Please don't provide handwriting solution

Q4/ The table below shows the duration and direct costs for the activities of a construction project. It is required to caleculate the duration of the project that achieves the lowest possible total cost using the technique of crashing if the indirect costs are 20% from direct cost. Normal Time (NT) Normal Cost (NC) S Crash Time Crash Cost Activity (CT) weeks (CC) S weeks A 6. 1000 3. 7000 В 4 9000 5 10000 C 3 6000 1 10000 D 4 8000 2. 11000 E 6. 1000 4 13000 5 6. D A 3 End Start 6. B E

​c) Total cost of crashing the project by 2 days​ = ​$_________ ​(Enter your response as an​ integer.)