Question

In the following Earliest Start Time (EST) graph, assume each unit of time is an hour.

What is the critical path and the minimum project time? (hint: this is the longest path).



CEFH, 21 hours

BEFH, 21 hours

ADFH, 21 hours

both B and C

Answer 1

In the following Earliest Start Time (EST) graph, assume each unit of time is an hour.

What is the critical path and the minimum project time? (hint: this is the longest path).

CEFH, 21 hours

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Answer 2

The critical path and the minimum project time are (a) CEFH, 21 hours

Critical path

This is the longest path on the chart

Considering the options, we have:

$CEFH =6 + 8 + 4 = 18$

$BEFH =4 + 8 + 4 = 16$

$ADFH =5 + 7 + 4 = 16$

In the above computation, 18 is greater than 16.

Hence, the critical path is CEFH

Minimum project time

This is the smallest time that the project can be completed.

On the chart, all path ends at 21 hours.

Hence, the minimum project time is 21 hours

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