Project management techniques were discussed in the material in topic 5.1 of the module. Specifically, the six steps of the PERT/CPM technique were applied. In this work, the student will solve a hypothetical problem applying the aforementioned technique.

ACTIVITY	OPTIMISTC a	MOST LIKELY m	PESSIMISTIC b	INMEDIATE PRECESSOR
A	8	10	12	------
B	6	7	9	------
C	3	3	4	------
D	10	20	30	A
E	6	7	8	C
F	9	10	11	B, D, E
G	6	7	10	B, D, E
H	14	15	16	F
I	10	11	13	F
J	6	7	8	G, H
K	4	7	8	I, J
L	1	2	4	G, H

• Using the six steps of PERT/CPM, model a critical path in an industry in the chemical sector. The following table summarizes the data required for the first four steps of the technique.
• With the data in the Table:

- Build a network for this problem. - Determine the expected time and variance for each activity. - Calculate IC, TC, IL, TL, and slack for each activity. - Determine the critical path and the completion time of the project.

• Using your creativity you will give a name and location to the company.
• Explain each specific step using the Table Modeling a Real Scenario

Step	Description
Definition of the problem	Explain and describe the hypothetical scenario to be used including the definition of the problem through the need to carry out a project in a certain time.
Development of a model	Mention the management steps of PERT/CPM Projects.
Step 1	Define the project and all its significant activities or tasks. (A - L)
Step 2	Develop the relationship between activities. Decide which activities should precede others.
Step 3	Draw the network that connects all the activities.
Step 4	Assign time and/or cost estimates to each activity.
Step 5	Calculate the path with the longest time through the network; is called the critical path.
Step 6	Use the network to help plan, schedule, monitor, and control the project. (Recommendations)
Note: Next to this Table, attach results of the Excel Qm or QM for Windows programs that served as a support tool in the decision-making of the modeling of a real scenario.

For the estimation of these criteria, you will use the QM for Windows tool or Excel QM.