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 and are able to work on any of the tasks.What day does activity H start under a leveled project with the four worker limitation? $$\begin{array} { | l | l | l | l | }
\hline \text { Activity } & \text { Activity time } & \text { Workers Needed } & \text { Predecessor } \
\hline \text { A } & 10 & 1 & \
\hline \mathrm { B } & 4 & 2 & \
\hline \mathrm { C } & 7 & 3 & \mathrm {~A} \
\hline \mathrm { D } & 4 & 1 & \mathrm {~A} \
\hline \mathrm { E } & 8 & 2 & \mathrm {~B} \
\hline \mathrm { F } & 9 & 3 & \mathrm { C } , \mathrm { E } \
\hline \mathrm { G } & 13 & 1 & \mathrm { D } \
\hline \mathrm { H } & 14 & 2 & \mathrm { E } , \mathrm { G } \
\hline \mathrm { J } & 13 & 3 & \mathrm {~F} \
\hline \mathrm { K } & 10 & 1 & \mathrm { H } , \mathrm { J } \
\hline \mathrm { L } & 5 & 2 & \mathrm {~K} \
\hline
\end{array}$$
A) Day 27
B) Day 28
C) Day 29
D) Day 30

Question

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 and are able to work on any of the tasks.What day does activity H start under a leveled project with the four worker limitation? $$\begin{array} { | l | l | l | l | } 
\hline \text { Activity } & \text { Activity time } & \text { Workers Needed } & \text { Predecessor } \
\hline \text { A } & 10 & 1 & \
\hline \mathrm { B } & 4 & 2 & \
\hline \mathrm { C } & 7 & 3 & \mathrm {~A} \
\hline \mathrm { D } & 4 & 1 & \mathrm {~A} \
\hline \mathrm { E } & 8 & 2 & \mathrm {~B} \
\hline \mathrm { F } & 9 & 3 & \mathrm { C } , \mathrm { E } \
\hline \mathrm { G } & 13 & 1 & \mathrm { D } \
\hline \mathrm { H } & 14 & 2 & \mathrm { E } , \mathrm { G } \
\hline \mathrm { J } & 13 & 3 & \mathrm {~F} \
\hline \mathrm { K } & 10 & 1 & \mathrm { H } , \mathrm { J } \
\hline \mathrm { L } & 5 & 2 & \mathrm {~K} \
\hline
\end{array}$$
A) Day 27
B) Day 28
C) Day 29
D) Day 30

Quizplus · Accepted Answer

To level the project, we need to allocate the resources such that the resource usage is as flat as possible. Since we have a limitation of four workers, we need to adjust the schedule accordingly.

The first step in leveling is to calculate the total work for the project:

Total work = 10 + 4 + 7 + 4 + 8 + 9 + 13 + 14 + 13 + 10 + 5 = 97 days

Next, we need to calculate the resource usage per period, assuming a maximum availability of 4 workers:

Period 1: A, D, G, L = 4 workers, 27 work days 
Period 2: B, E = 4 workers, 18 work days 
Period 3: C = 3 workers, 21 work days 
Period 4: F = 3 workers, 27 work days 
Period 5: H = 4 workers, 28 work days 
Period 6: J = 3 workers, 39 work days 
Period 7: K = 4 workers, 20 work days

As we can see, period 5 has the highest resource usage, with 4 workers required for 28 work days. This is the critical period, and activity H falls in this period. Therefore, activity H will start on day 28.

The answer is (C) Day 29.

A Project Consists of Eleven Activities (All Times Are Given