Math Problem Statement

Buatah diagram jaringan proyek untuk tabel dibawah ini.

Solution

The problem you've shared appears to involve constructing a project network diagram based on the provided table. This is typically done using the Program Evaluation and Review Technique (PERT) or Critical Path Method (CPM).

Key Information from the Table:

  • Tasks (Pekerjaan): A to I
  • Preceding Tasks (Pekerjaan Sebelumnya): This tells us the order or dependency of tasks.
  • Time Estimates:
    • a: Optimistic time
    • m: Most likely time
    • b: Pessimistic time
  • Tenaga Kerja (Manpower): This gives the number of workers involved in each task.

To solve the problem:

  1. Determine the dependencies: You need to identify which tasks depend on the completion of others.
  2. Calculate expected times for each task using the formula: Expected Time=a+4m+b6\text{Expected Time} = \frac{a + 4m + b}{6}
  3. Construct a network diagram using the tasks and their dependencies.
  4. Identify the critical path by finding the longest path through the network (i.e., the tasks that determine the project's minimum completion time).

Would you like me to proceed with calculating the expected times and then guiding you through the creation of the network diagram?

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Math Problem Analysis

Mathematical Concepts

Project Management
PERT/CPM
Critical Path Analysis

Formulas

Expected Time = (a + 4m + b) / 6
Critical Path: Longest path in the network diagram

Theorems

Critical Path Theorem

Suitable Grade Level

Undergraduate