80.2K

Verified Solution

Link Copied!

Problem 3 (37 points) Russia is hosting the 2018 World Cup, a quadrennial international soccer tournament. A new stadium must be constructed in the City of Rostov-on-Don, Russia. The new stadium will have a capacity of 45,000 seats and host five matches during the tournament. The following activities would have to be undertaken before construction can begin on the stadium. Activity Description Immediate Predecessor Time (weeks) A Survey building site 0 B Develop initial design 8 Obtain board approval A,B 12 D Select architect C F Establish budget C 6 F Finalize design DE IS G Obtain financing E 12 H Hire contractor F G 8 4 a. Construct a network for this problem. (4 points). b. Determine ES, EF, LS, and LF time, and slack for each activity. (8 points) c. Determine the critical path and the expected project completion time. (4 points) d. Based on the information thus far, would a delay of 1 week in activity D (select architect) delay the completion time of the project? Justify. (3 points) Now assume that the duration of some activities is not known with certainty. The estimates of these activities are shown below. Assuming that the duration of the other activities remain unchanged, answer the following questions. Activity Optimistic Most Likely Pessimistic Expected Time Variance A 4 6 8 B 3 8 13 5 6 E F 7 17 13 IS e. What is the project's expected completion time and variance given this new information about uncertainty in duration of some activities? (7 points) f. The project must be completed within 52 weeks or else there are penalties. What is the probability of the organizing committee incurring these penalties? Show your work/calculations. (4 points) 8. What time should the organizing committee report such that they are 85% sure that the project will be completed by that time? Show your work/calculations. (4 points) a. Construct a network for this problem. (4 points). b. Determine ES, EF, LS, and LF time, and slack for each activity. (8 points) c. Determine the critical path and the expected project completion time. (4 points) d. Based on the information thus far, would a delay of 1 week in activity D (select architect) delay the completion time of the project? Justify. (3 points) Now assume that the duration of some activities is not known with certainty. The estimates of these activities are shown below. Assuming that the duration of the other activities remain unchanged, answer the following questions. Activity Optimistic Most Likely Pessimistic Expected Time Variance 4 6 8 B 3 8 13 5 6 7 E F 13 15 17 e. What is the project's expected completion time and variance given this new information about uncertainty in duration of some activities? (7 points) f. The project must be completed within 52 weeks or else there are penalties. What is the probability of the organizing committee incurring these penalties? Show your work/calculations. (4 points) 8. What time should the organizing committee report such that they are 85% sure that the project will be completed by that time? Show your work/calculations. (4 points) n. The organizing committee wants to reduce the duration of the project by 1 week. They have looked at several different options to bring in more resources to expedite an activity. The options are listed in the following table. Which activity should be crashed in order to reduce the overall duration of the project by 1 week? Justify. (3 points) Activity Description Crashing Cost (1 week) B Develop initial design S2000 D Select architect 5900 E Establish budget S1300 G Obtain financing S1500 Problem 3 (37 points) Russia is hosting the 2018 World Cup, a quadrennial international soccer tournament. A new stadium must be constructed in the City of Rostov-on-Don, Russia. The new stadium will have a capacity of 45,000 seats and host five matches during the tournament. The following activities would have to be undertaken before construction can begin on the stadium. Activity Description Immediate Predecessor Time (weeks) A Survey building site 0 B Develop initial design 8 Obtain board approval A,B 12 D Select architect C F Establish budget C 6 F Finalize design DE IS G Obtain financing E 12 H Hire contractor F G 8 4 a. Construct a network for this problem. (4 points). b. Determine ES, EF, LS, and LF time, and slack for each activity. (8 points) c. Determine the critical path and the expected project completion time. (4 points) d. Based on the information thus far, would a delay of 1 week in activity D (select architect) delay the completion time of the project? Justify. (3 points) Now assume that the duration of some activities is not known with certainty. The estimates of these activities are shown below. Assuming that the duration of the other activities remain unchanged, answer the following questions. Activity Optimistic Most Likely Pessimistic Expected Time Variance A 4 6 8 B 3 8 13 5 6 E F 7 17 13 IS e. What is the project's expected completion time and variance given this new information about uncertainty in duration of some activities? (7 points) f. The project must be completed within 52 weeks or else there are penalties. What is the probability of the organizing committee incurring these penalties? Show your work/calculations. (4 points) 8. What time should the organizing committee report such that they are 85% sure that the project will be completed by that time? Show your work/calculations. (4 points) a. Construct a network for this problem. (4 points). b. Determine ES, EF, LS, and LF time, and slack for each activity. (8 points) c. Determine the critical path and the expected project completion time. (4 points) d. Based on the information thus far, would a delay of 1 week in activity D (select architect) delay the completion time of the project? Justify. (3 points) Now assume that the duration of some activities is not known with certainty. The estimates of these activities are shown below. Assuming that the duration of the other activities remain unchanged, answer the following questions. Activity Optimistic Most Likely Pessimistic Expected Time Variance 4 6 8 B 3 8 13 5 6 7 E F 13 15 17 e. What is the project's expected completion time and variance given this new information about uncertainty in duration of some activities? (7 points) f. The project must be completed within 52 weeks or else there are penalties. What is the probability of the organizing committee incurring these penalties? Show your work/calculations. (4 points) 8. What time should the organizing committee report such that they are 85% sure that the project will be completed by that time? Show your work/calculations. (4 points) n. The organizing committee wants to reduce the duration of the project by 1 week. They have looked at several different options to bring in more resources to expedite an activity. The options are listed in the following table. Which activity should be crashed in order to reduce the overall duration of the project by 1 week? Justify. (3 points) Activity Description Crashing Cost (1 week) B Develop initial design S2000 D Select architect 5900 E Establish budget S1300 G Obtain financing S1500

Answer & Explanation Solved by verified expert

See Answer