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# Discrete Math - structures

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Make a meaningful example illustrating Project Evaluation and Review Technique (PERT). Explain all details. Draw the graphs involved. Use reasonable number of tasks.
(a) Determine the minimum time needed to complete your set of tasks.
(b) Determine the Critical Path for your example. Explain what this gives you.
(c) Comment on your example. Which task(s) cause a delay in the project? How would you fix the problem? Can you obtain more information out of your example?

https://brainmass.com/math/discrete-structures/discrete-math-structures-578777

#### Solution Preview

See the attached file.

Make a meaningful example illustrating Project Evaluation and Review Technique (PERT). Explain all details. Draw the graphs involved. Use reasonable number of tasks.
(a) Determine the minimum time needed to complete your set of tasks.
(b) Determine the Critical Path for your example. Explain what this gives you.
(c) Comment on your example. Which task(s) cause a delay in the project? How would you fix the problem? Can you obtain more information out of your example?

The information presented in the following table ...

#### Solution Summary

The solution assists with finding the critical path and minimum time to complete an activity.

\$2.19

## Discrete Structures Math Problem?

Let A = { 1, 2, 3, 4 } , and let R be the relation defined on A defined by:
R = {(1,1), (2,2), (3,3), (4,4), (1,2), (2,3), (3,4), (1,3), (2,4)}

(a) Draw the digraph of this relation.

(b) Which of the properties: reflexive, antisymmetric and transitive are true for the given relation? Begin your discussion by defining each term in general first and then show how the definition relates to this specific example.

(c) Write the Boolean (yes/no) matrix of the relation, R, given above.

(d) Use the matrix of part (c) to determine the ordered pairs in the relation R2.

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