Operations Management
Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 19, Problem 8PA

A project consists of three tasks: A, B, and C. Task A is known to take five days for sure. Tasks B and C are each dependent on A. B takes five days. C takes seven days with a probability of 0.5 and three days with a probability of 0.5. What is the expected completion time of the project?

  1. a. 8 days
  2. b. 10 days
  3. c. 11 days
  4. d. 12 days
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Limbo Technologies has embarked on another project that has an estimated completion time of 40 weeks and a standard deviation of 5 weeks. It is estimated that the project completion time is normally distributed. i)What is the probability of finishing the project in 38 weeks or less?  ii)The due date for the project is set so that there is a 90% chance that it will finish by this date. What is the due duration? ACTIVITY PREDECESSOR NORMAL TIME (WEEKS) CRASH TIME (WEEKS) NORMAL COST ($) CRASH COST ($) A - 4 2 1000 1600 B - 6 3 3000 3500 C A 3 1 2500 3000 D A,B 6 5 1500 1850 E D 4 2 3500 4200 F C 4 3 2250 3000 G D 3 2 1900 2500 H F,G,E 2 1 400 500
A project has the following tasks and duration estimates given. These three tasks are done in succession on a project.   Task Optimistic Estimate Most Likely Estimate Pessimistic Estimate Alpha 30 days 40 days 50 days Beta 20 days 25 days 28 days Charlie 4 days 10 days 12 days Delta 25 days 30 days 50 days   What is the expected duration for the project? (3 points)       What is the variance for the project? (3 points)       What is the standard deviation of the project? (3 points)     What is the range of the duration of the project given 3 sigma? (3 points)
A project has four major activities. Activity A precedes activity B, activity C precedes activity D. 3-point estimates for activities are A(4, 8, 12 ), B( 3, 6, 9 ), C( 1, 2, 3 ), D( 6, 12, 18 ) weeks. What probability would you assign to a project duration of more than 14 weeks? O a. 0.402 O b. 0.949 O c. 0.75 O d. 0.5

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