Consider a Project Having the Following Ten Activities

question 118

Essay

Consider a project having the following ten activities:
Normal Normal Crash Crash Maximum
Immediate Time Cost Time Cost Weeks
Activity Predecessors (weeks) ($) (weeks) ($) Reduced
A none 7 3,000 6 6,000 1
B A 8 5,000 6 9,000 2
C A 2 2,000 1 3,000 1
D A 4 3,000 4 3,000 0
E B, C 9 4,000 7 6,000 2
F C, D 6 4,000 4 9,000 2
G E 2 3,000 2 3,000 0
H E, F 9 4,000 7 7,000 2
I G 1 4,000 1 4,000 0
J H, I 8 2,000 6 7,000 2
(a)What is the expected project completion time?
(b)What is the critical path?
(c)What is the most economical way and how much will it cost to reduce the completion time of the project by three weeks? by five weeks?

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Definitions:

Research Hypothesis

A statement predicting the relationship between variables in a study, opposing the null hypothesis.

ANOVA

Short for Analysis of Variance, a statistical method used to compare means of three or more samples.

Second Grouping Factor

A secondary variable used in an analysis to categorize or group data, allowing for comparisons across different levels of this variable.

4 × 3 Factorial Design

A statistical test used in experiments involving two independent variables, one with four levels and the other with three levels, to determine their effect on a dependent variable.