PROJECT MANAGEMENT - Critical Paths and Crashin You are a contractor that has been asked to build an apartment complex. The associated AON Network diagram and the Time/Cost table are provided below. (Based on the table, you could crash activity B for one week only at a cost of $250 or two weeks for $500.) The owner wants the apartment complex built in 29 weeks. The owner will charge a penalty cost of $1500 per week if the complex is not completed on time. eee A 8 7 200 B 5 3 Cc 5 3 D 6 5 E 8 5 F 4 3 G 6 5 H 4 2 PART 1 CRITICAL PATHS Find the duration of each of the possible paths. ACEFH - ADEFH - ACEGH - ADEGH - BDEFH - BEDEGH - 1. What is the Critical Path? What is the duration of this project presently? 2. What would be the penalty associated for the project in the current state? PART 2 - SLACK TIMES 3. Which activities currently have slack? In other words, which activities are NOT presently on the Critical Path? ABCDEFGH Prep for 4 and 5: What is the longest path (in terms of time) for ONLY those items with slack? For Example: Suppose C's longest path was ACEFG at 45 day (Not true, of course) you would wrife - ACEFG 4. What is the actual slack time for activity F? 5. What is the actual slack time for activity A? Hint for 4 and 5: What is the difference between each of the paths listed in question E and the critical path? (This tells you how long each activity listed in question E can be delayed without affecting the Total Project Time with the present Critical Path.) If the item is on the Critical path it will have 0 slack. Critical Paths and Crashing CRASH FIRST ITEM Crash the project by 1 week by altering the activity that will save us the most money. 6. Which activity will you crash first? Make the necessary change to your network diagram. ACEFH - ADEFH - ACEGH - ADEGH - BDEFH - BDEGH - 7 What is the resulting critical path (or paths) and also the new project duration? 8. How much money did you save (net savings) by crashing this activity? Net Savings = 1 Week Penalty Saved - 1 Week Crash Cost CRASH SECOND ITEM Again, crash the project by 1 week by altering the activity that will save us the most money. 19 Which activity will you crash second? Make the necessary change to your network diagram. ACEFH - ADEFH - ACEGH - ADEGH - BDEFH - BDEGH - 10. What is the resulting critical path (or paths) and also the new project duration? 11. How much money did you save (net savings) by crashing this activity? Net Savings = 1 Week Penalty Saved - 1 Week Crash Cost CRASH THIRD ITEM Crash the project by 1 week by altering the activity that will save us the most money. This will get us to the desired completion date that will eliminate the penalties. 12. Which activity will you crash third? Make the necessary change to your network diagram. ACEFH - ADEFH - ACEGH - ADEGH - BDEFH - BDEGH - 13. What is the resulting critical path (or paths) and also the new project duration? 14. How much money did you save (net savings) by crashing this activity? Net Savings = 1 Week Penalty Saved - 1 Week Crash Cost TOTAL SAVINGS 15. How much did you save, in total by crashing the system down to 29 weeks? Question 1 2 pt Which of the following is the critical path and also has the correct project duration? # ACEFH (29 wooks) O ADEFH (33 weeks) O ACEGH (32 weeks) Q ADEGH (32 weeks) D BDEFH (28 wooks) O BDEGH (32 weeks) O AGEFH and BDEGH (29 weeks) O ADEFH and ACEGH (31 weeks) O AGEGH and BDEGH (32 weeks) O ADEGH and AGEGH (32 weeks) O BDEFH and BDEGH (29 weeks) O BDEGH and ADEGH (29 weeks) Question 2 2 ple What would be the penalty associated for the project in the current state? O $1000 $1500 O $2000 Q $2500 O $3000 Q $400D O $5000 Q $4500 O $6000 Q 87500 O $5500 Question 3 2 pt Which activities currently have slack? In other words, which activities are NOT presently on the Critical Path? O A only D BC O ACF O BGF O DEG O FGH OFonly O B only O ABF Question 4 2 pt What is the actual slack for activity F? 01 0 2 0 3 0 4 0 5 0 6 07 O BQuestion 5 2 pts What is the actual slack for activity A? 01 02 0 3 0 4 0 5 0 6 07 Question 6 2 pts Which activity should you crash first? O A OB OC OD OE OF OG OH Question 7 2 pts Which of the following is the resulting critical path and also the new project duration? O ACEFH (28 weeks) O ADEFH (32 weeks) O ACEGH (31 weeks) O ADEGH (31 weeks) O BDEFH (27 weeks) O BDEGH (31 weeks) O AGEFH and BDEGH (28 weeks) O ADEFH and ACEGH (30 weeks) O ACEGH and BDEGH (31 weeks) O ADEGH and ACEGH (31 weeks) O BDEFH and BDEGH (29 weeks) O EDEGH and ADEGH (29 weeks) Question 8 2 pts How much money did you save (net savings) by crashing this activity? O $1000 O $1500 $200 O $250 $300 O $500 $2250 O $1300 O $2300 $1750 O $1550 Question 9 2 pts Which activity should you crash second? OA O B OC OD OE OF OG OH OIQuestion 10 2 pts Which of the following is the resulting critical path and also the new project duration? O ACEFH (28 weeks) O ADEFH (31 weeks) O ACEGH (31 wooks) O ADEGH (30 weeks) O BDEFH (27 weeks) Q EDEGH (30 weeks) O ACEFH and BDEGH (28 weeks) Q ADEFH and ACEGH (30 weeks) O ACEGH and BDEGH (30 weeks) O ADEGH and ACEGH (30 weeks) O BDEFH and BDEGH (28 weeks) O EDEGH and ADEGH (28 weeks) Question 11 2 pts How much money did you save (net savings) by crashing this activity? O $1000 O $150 O $200 O $250 O $300 O $500 O $2250 O $130 O $2300 O $1750 O $1550 Question 12 2 pts Which activity should you crash third? OA O B OC OD OE OF OG OH OI Question 13 2 pts Which of the following is the resulting critical path and also the new project duration? O ACEFH (28 weeks) O ADEFH (28 weeks) O ACEGH (29 weeks) O ADEGH (30 weeks) O BDEFH (27 weeks) O EDEGH (30 weeks) O ACEFH and BDEGH (29 weeks) O ADEFH and ACEGH (29 weeks) D ACEGH and BDEGH (29 weeks) O ADEGH and ACEGH (29 weeks) " EDEFH and BDEGH (27 weeks) O EDEGH and ADEGH (27 weeks) Question 14 2 pts How much money did you save (net savings) by crashing this activity? O $10DD O $1500 O $200 O $250 O $300 O $500 O $2250 O $1300 O $230 O $1750 O $1550D Question 15 2 pis How much did you save, in total by crashing the system down to 29 weeks? Q $2000 O $2500 $1200 O $1250 $1300 O $1500 $2250 O $2800 ( $2300 O $3750 0 83550