Questions: Eight experiments need to be carried out. One of the experiments requires 10 hours to complete, two of the experiments require 7 hours each to complete, two more require 12 hours each to complete, and three of the experiments require 20 hours each to complete. In addition, neither of the 7 -hour experiments can be started until all three of the 20 -hour experiments have been completed, and the 10 -hour experiment cannot be started until both of the 12 -hour experiments have been completed. Identify a project diagraph for this scheduling problem.

Eight experiments need to be carried out. One of the experiments requires 10 hours to complete, two of the experiments require 7 hours each to complete, two more require 12 hours each to complete, and three of the experiments require 20 hours each to complete. In addition, neither of the 7 -hour experiments can be started until all three of the 20 -hour experiments have been completed, and the 10 -hour experiment cannot be started until both of the 12 -hour experiments have been completed. Identify a project diagraph for this scheduling problem.

Transcript text: Eight experiments need to be carried out. One of the experiments requires 10 hours to complete, two of the experiments require 7 hours each to complete, two more require 12 hours each to complete, and three of the experiments require 20 hours each to complete. In addition, neither of the 7 -hour experiments can be started until all three of the 20 -hour experiments have been completed, and the 10 -hour experiment cannot be started until both of the 12 -hour experiments have been completed. Identify a project diagraph for this scheduling problem.

Solution

Solution Steps

Step 1: Identify the Experiments and Their Durations

One experiment requires 10 hours.
Two experiments require 7 hours each.
Two experiments require 12 hours each.
Three experiments require 20 hours each.

Step 2: Determine Dependencies

The 10-hour experiment cannot start until both 12-hour experiments are completed.
None of the 7-hour experiments can start until all three 20-hour experiments are completed.

Step 3: Construct the Project Diagraph

Start with the initial node (START).
Connect the initial node to the three 20-hour experiments.
Connect the three 20-hour experiments to the two 7-hour experiments.
Connect the initial node to the two 12-hour experiments.
Connect the two 12-hour experiments to the 10-hour experiment.
Connect all final experiments to the end node (END).

Final Answer

The project diagraph should look like this:

START
  |
  v
20h1 -> 20h2 -> 20h3
  |      |      |
  v      v      v
  7h1    7h2
  |
  v
12h1 -> 12h2
  |
  v
 10h
  |
  v
 END

This diagraph ensures that all dependencies and durations are correctly represented.

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