Consider the project described in problem suppose that the


Question: Consider the project described in Problem. Suppose that the activity times are random variables with a constant coefficient of variation of 0.2. (The coefficient of variation is the ratio ­­-.) Assume that the times given are the mean activity times.

a. Compute the standard deviation of each of the activity times.

b. Find the mean and the variance of the path with the longest expected completion time.

c. Using the results of part (b), estimate the probability that the project is completed within 20 weeks.

d. Using the results of part (b), estimate the number of weeks required to complete the project with probability .85.

Problem: A project consisting of eight activities satisfies the following precedence constraints:

940_act 7.png

a. Construct a network for this project. (You should need only one pseudo activity.)

b. Compute the earliest and the latest starting and finishing times for each activity and identify the critical path.

c. Draw a Gantt chart of the schedule for this project based on earliest starting times.

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Engineering Mathematics: Consider the project described in problem suppose that the
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