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Chapter 2 Homework Problem Solutions Chapter 2 Project Management Study Objectives: construct a network diagram for a project determine critical path and expected completion time of a project with deterministic task times (note: some of us also do calculations for probabilistic times, but not required) calculate slack times for a particular task know how to “crash” a project down to a certain completion time at the lowest cost (note: just the concept of crashing needs to be discussed and not the calculations; some of us do the calculations, others do not)

Discussion Questions:

3. Most everyone should be able to describe some project they have been a part of. Common ones include preparing a high-school yearbook, planning a major …show more content…

T = 47 days, TE = 43.17 days, and the sum of the variances for the critical activities is: (0.25 + 5.44 + 0.69 + 2.25) = 8.63. z T  TE  47  43.17 8.63  3.83  1.30 2.94

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Assuming the normal distribution applies, we use the table for the normal probability distribution. Given z = 1.30, the probability that activities A–D–G–I can be completed in 47 days or less is 0.9032.

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Problem 12 (page 82) Table 2.5 on page 82 contains information about an environmental clean-up project. Shorten the project three weeks by finding the minimum-cost schedule. Assume that project indirect costs and penalty consts are negligible. Identify activities to crash while minimizing the additional crash costs. Solution: AON Diagram for the environmental project:
7 7 C 7 14 14

ES ID EF LS
DUR

LF

0 0

A 7

7 7

14 14

F 1

15 15

15 15

H 3

18 18

Start

7 7

D 6

13 13

Finish

0 0

B

12

13 13

G 3

16 16

16 16

I 2

18

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