## Quiz 14 :

Managing Quality Improvement Teams and Projects

Answer:

In the context of leadership, readiness involves the ability and enthusiasm of a leader that is required for accomplishment of his task. Mathematically, it is defined as a function of two variables, one is ability and other is willingness.

Ability of a leader includes his experience, job maturity, technical skills, and self-confidence. Enthusiasm shows his willingness to achieve his targets. Both of these variables help a manager to determine and accomplish certain objectives.

Answer:

a)

A network diagram shows a project's activities and relationships between them.

Draw an AOA diagram based on the precedence relationship as shown below:

1. Place the activity (Circle) with no predecessor on extreme left hand side

2. Add activities on the right based on precedence ralationship

3. Write name of activities inside the circles

b)

Calculate the expected completion time using the following formula as shown below:

The above table shows the expected completion time for each task.

c)

Calculate Early and late times based on the network diagram as shown below:

Network Diagram

d)

The critical path is activities with zero slack i.e. ADJNO. The expected completion time is 6+6.33+14.33+8.50+7.83 = 43 days.

e)

Step-1: Calculate standard deviation of the activities as shown below:

The standard deviation of the critical path is 1.67+1+2.33+2.17+0.83 = 8.

The standard normal deviate (z) for probability 0.95 is 1.65 (use standard normal distribution tables or =Normsinv(0.95) function in excel)

Calculate the time corresponding to probability of 0.95 using the following formula as shown below:

The project manager is required to quote 56.2 days.

Answer:

Activities, precedence relationships, and task times for a number of tasks have been tabulated as below.

Table 1

a.

A precedence diagram has been sketched as in Figure 1.

Figure 1

b.

Compute early and late times:

With the help of Figure 1, early times and late times of the project have been tabulated in Table-2.

Table 2

c.

Find the critical path:

Critical path has been defined as the longest path in time from beginning to end. It is the path of activities with no slack.

Thus, Critical path is

.

d.

Managers could retain all tasks except critical tasks because Critical task is the longest path in time from beginning to end.

e.

Compute the slack for each task:

The slack times for a task are calculated by taking the late start times minus the latest finish time.

f.

I would shorten critical tasks in order to reduce the project completion time.

g.

From Figure 1, it is clear that the expected project completion time is 282 days.

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