Use this digraph for the next 2 problems. T₁ (3) T4 (12) T2 (9) T3 (11) T5 (5) IXI T6 (8) T7(10) 3. Using the priority list T4, T₁, T7, T3, T6, T2, T5, schedule the project with two processors. 4. Using the priority list T5, T2, T3, T7, T1, T4, T6, schedule the project with two processors.

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Chapter2: Second-order Linear Odes
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Contemporary Mathematics 

*Clear Writing Please* 

**Graphical Explanation:**

This is a directed graph (digraph) used for project scheduling problems. The graph consists of seven tasks, denoted by \( T_1, T_2, T_3, \ldots, T_7 \). Each task has a number in parentheses indicating its duration.

- **Nodes:** Represent tasks.
  - \( T_1(3) \)
  - \( T_2(9) \)
  - \( T_3(11) \)
  - \( T_4(12) \)
  - \( T_5(5) \)
  - \( T_6(8) \)
  - \( T_7(10) \)

- **Edges:** Represent dependencies between tasks. 
  - From \( T_1 \) to \( T_4 \) and \( T_7 \).
  - From \( T_2 \) to \( T_5 \) and \( T_7 \).
  - From \( T_3 \) to \( T_5 \) and \( T_6 \).
  - From \( T_4 \) to \( T_6 \).
  - From \( T_5 \) to \( T_6 \) and \( T_7 \).

**Problems:**

3. Using the priority list \( T_4, T_1, T_7, T_3, T_6, T_2, T_5 \), schedule the project with two processors.

4. Using the priority list \( T_5, T_2, T_3, T_7, T_1, T_4, T_6 \), schedule the project with two processors.

The task is to create a schedule for these tasks considering their dependencies, durations, and priority lists using two processors.
Transcribed Image Text:**Graphical Explanation:** This is a directed graph (digraph) used for project scheduling problems. The graph consists of seven tasks, denoted by \( T_1, T_2, T_3, \ldots, T_7 \). Each task has a number in parentheses indicating its duration. - **Nodes:** Represent tasks. - \( T_1(3) \) - \( T_2(9) \) - \( T_3(11) \) - \( T_4(12) \) - \( T_5(5) \) - \( T_6(8) \) - \( T_7(10) \) - **Edges:** Represent dependencies between tasks. - From \( T_1 \) to \( T_4 \) and \( T_7 \). - From \( T_2 \) to \( T_5 \) and \( T_7 \). - From \( T_3 \) to \( T_5 \) and \( T_6 \). - From \( T_4 \) to \( T_6 \). - From \( T_5 \) to \( T_6 \) and \( T_7 \). **Problems:** 3. Using the priority list \( T_4, T_1, T_7, T_3, T_6, T_2, T_5 \), schedule the project with two processors. 4. Using the priority list \( T_5, T_2, T_3, T_7, T_1, T_4, T_6 \), schedule the project with two processors. The task is to create a schedule for these tasks considering their dependencies, durations, and priority lists using two processors.
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