A Project Consists of Eleven Activities (All Times Are Given

question 20

Essay

A project consists of eleven activities (all times are given in days)and has worker requirements as indicated in the table.Assume that all four workers employed by this organization are generalists.What schedule is attainable if the number of workers is not an issue? What is the fastest the project can be completed while constrained by the four worker limitation?
$$\begin{array} { | l | l | l | l| } \hline & & \text { Workers } & \\\text { Activity } & \text { Activity time } & \text { Needed } & \text { Predecessor } \\\hline \text { A } & 10 & 1 & \\\hline B & 4 & 2 & \\\hline \mathrm { C } & 7 & 3 & A \\\hline \mathrm { D } & 4 & 1 & \mathrm {~A} \\\hline \mathrm { E } & 8 & 2 & B \\\hline \mathrm { F } & 9 & 3 & \mathrm { C } , \mathrm { E } \\\hline \mathrm { G } & 13 & 1 & \mathrm { D } \\\hline \mathrm { H } & 14 & 2 & \mathrm { E } , \mathrm { G } \\\hline \mathrm { J } & 13 & 3 & \mathrm {~F} \\\hline \mathrm { K } & 10 & 1 & \mathrm { H } ,\mathrm {~J} \\\hline \mathrm { L } & 5 & 2 & \mathrm {~K} \\\hline\end{array}$$

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Definitions:

SST

In the context of statistics, typically refers to the total sum of squares in an ANOVA test, measuring the total variation in the data.

Factorial Research Design

An experimental setup that involves studying the effects of multiple factors and their interactions on a response variable.

Null Hypothesis

A statement positing no difference or no effect, which researchers aim to test against the alternative hypothesis.

One-way ANOVA

A statistical test that compares the means of three or more independent groups to determine if there is a significant difference among them based on one independent variable.