**1** Sid Davidson was able to determine the activity times for the leadership training program. He would like to determine the total project completion time and the critical path. The activity times appear in the following table

ACTIVITY | TIME (DAYS) |

A | 2 |

B | 5 |

C | 1 |

D | 10 |

E | 6 |

G | 8 |

35 |

**2.** 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 |

**3.**The following are the activity times for the project in Problem 12-14. 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 |

**4.**Monohan Machinery specializes in developing weed harvesting* equipment that is used to clear small lakes *of weeds. George Monohan, president of Monohan Machinery, is convinced that harvesting weeds is far better than using chemicals to kill weeds. Chemicals cause pollution. and the weeds seem to grow faster after chemicals have been used. George is contemplating the construction of a machine that would harvest weeds on narrow rivers and waterways. The activities that are necessary to build one of these experimental weed-harvesting machines are listed in the following table. Construct a network for these activities.

ACTIVITY | IMMEDIATE PREDECESSOR |

A | – |

B | – |

C | A |

D | A |

E | B |

F | B |

G | C,E |

H | D,F |

**5.**After consulting with Butch Radner, George Monohan was able to determine the activity times for constructing the weed-harvesting machine to be used on narrow rivers. George would like to determine ES. EF, LS. LF, and slack for each activity. The total project completion time and the critical path should also be determined. (See Problem 12-16 for details.) The activity times are shown in the following table:

ACTIVITY | TIME (DAYS) |

A | 6 |

B | 5 |

C | 3 |

D | 2 |

E | 4 |

F | 6 |

G | 10 |

H | 7 |

**6.**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 in the following table

**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

**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.

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