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# Four Project Management Problems

Question # 00008880
Subject: Mathematics
Due on: 02/22/2014
Posted On: 02/22/2014 08:07 AM

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1.Jean Walker is making plans for spring break at the beaches in Florida. In applying techniques she learned in her quantitative methods class, she has identified the activities that are necessary to prepare for her trip. The following table lists the activities and the immediate predecessors. Draw the network for this project. Activity Immediate Predecessor A - B - C A D B E C, D F A G E, F

2. The following are the activity times for the project in the problem above. Find the earliest, latest, and slack times for each activity. Then find the critical path. Activity Time (Days) A 3 B 7 C 4 D 2 E 5 F 6 G 3

3.Tom Schriber, a director of personnel of Management Resources, Inc., is in the process of designing a program that its customers can use in the job-finding process. Some of the activities include preparing resumes, writing letters, making appointments to see prospective employers, researching companies and industries, and so on. Some of the information on the activities is shown the following table: Days Immediate Activity a m b Prodecessors A 8 10 12 - B 6 7 9 - C 3 3 4 - D 10 20 30 A E 6 7 8 C F 9 10 11 B,D,E G 6 7 10 B,D,E H 14 15 16 F I 10 11 13 F J 6 7 8 G,H K 4 7 8 I,J L 1 2 4 G,H

a. Construct a network for this problem.

b. Determine the expected time and variance for each activity.

c. Determine ES, EF, LS, LF, and slack for each activity.

d. Determine the critical path and project completion time.

e. Determine the probability that the project will be finished in 70 days or less.

f. Determine the probability that the project will be finished in 80 days or less.

g. Determine the probability that the project will be finished in 90 days or less.

4.Bowman Builders manufactures steel storage sheds for commercial use. Joe Bowman, president of Bowman Builders, is contemplating producing sheds for home use. The activities necessary to build an experimental model and related data are given in the accompanying table. a. What is the project completion date? b. Formulate an LP problem to crash this project to 10 weeks. Normal Crash Normal Crash Activity Time Time Cost Cost Immediate Predecessors A 3 2 \$1,000 \$1,600 - B 2 1 \$2,000 \$2,700 - C 1 1 300 300 - D 7 3 1,300 1,600 A E 6 3 850 1,000 B F 2 1 4,000 5,000 C G 4 2 1,500 2,000 D,E

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#### Four Project Management Problems Solution

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Four_Project_Management_Problems_Solution.xlsx (48.08 KB)
Preview: (1 xxx column)ActivityTimePred xxxxx 2ResultsEarly StartEarly xxxxxxxxxx StartLate FinishSlackProjectEarly xxxxx computationsLate xxxxxx xxxxxxxxxxxxxxxxxxxxxxxxx ActivityNoncritical xxxxxxxxxxxxxxxxxxxx 3 time xxxxxxxxxxxx SchriberOptimisticLikelyPessimisticMeanStd devVarianceHIJKLPrecedencesPred xxxxxxxxx and xxxxxxxx xxx in xxxxx abovec)ES, EF, xxx LF and xxxxx are xx xxxxx on xxxx d)Critical path xx ADFHJK and xxxxxxxxxx time xx xx 67e)P(T<=70) xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx devProject completion xxxx is 14 xxxxxxxxxxxxxxxx.....
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#### Four Project Management Problems

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Preview: the xxxxxx must xx up and xxxxxxx in 16 xxxxx Consequently, xxxxxxxxxxx xxxxx crashing xxx project was xxx together and xx shown xx xxx following xxxxxxxxxxxxxxxxxxxxxxx Predecessor(s)Normal Time xxxxxxxxxxxx Time (weeks)Normal xxxx (\$)Crash xxxx xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx the xxxxxxx is to xx finished in xx weeks, xxxxx xxxxxxxx or xxxxxxxxxx should be xxxxxxx to do xxxx at xxx xxxxx additional xxxxx What is xxx total cost xx this?If xxx xxxxxxx is xx be finished xx 16 weeks, xxxx activity x xxxxx have xx be crashed xx 2 days xxx cumulative xxxx xx this xxxxxx is \$2,400 xxxx all the xxxxx in xxxx xxxxxxx After xxx crashing in xxxx (a) has xxxx done, xxxx xx the xxxx required for xxxx path? If xxx project xxxxxxxxxx xxxx must xx reduced another xxxx so that xxx total xxxx xx 15 xxxxxx which activity xx activities should xx crashed?Graph xxxxx xx the xxxxxxx before crashing xxxx A-C-F-H will xxxxxxx 16 xxxxx xxxx A-E-G-H xxxx require 18 xxxxx and.....
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