Nested Schedule Optimization: Worksheet 2 - Beginner Practice Nested Schedule Optimization BEGINNER

Ready to master Nested Schedule Optimization? This entry level practice worksheet (2/10) presents 20 beginner-level challenges. Focus area: pattern recognition. Learn to solve nested schedule optimization reasoning questions, handle nested schedule optimization practice, and perfect nested schedule optimization for competitive exams with our step-by-step solutions.

📝 Worksheet 2 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Nested Schedule Optimization
Worksheet 2 of 10 (11% complete)

Question 1

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 2 - Assemble: 45 min on Line 2 - Package: 15 min on Line 3 **Product Y:** - Cut: 20 min on Line 3 - Assemble: 60 min on Line 1 - Package: 20 min on Line 3 **Product Z:** - Cut: 40 min on Line 3 - Assemble: 30 min on Line 2 - Package: 25 min on Line 2 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 60 minutes
- Line 2: 130 minutes
- Line 3: 95 minutes

2. Identify bottleneck: The line with maximum load = Line 2
3. Bottleneck load: 130 minutes

Answer: Line 2 (130 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 2

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 2 - Assemble: 45 min on Line 2 - Package: 15 min on Line 3 **Product Y:** - Cut: 20 min on Line 1 - Assemble: 60 min on Line 3 - Package: 20 min on Line 2 **Product Z:** - Cut: 40 min on Line 3 - Assemble: 30 min on Line 2 - Package: 25 min on Line 2 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 20 minutes
- Line 2: 150 minutes
- Line 3: 115 minutes

2. Identify bottleneck: The line with maximum load = Line 2
3. Bottleneck load: 150 minutes

Answer: Line 2 (150 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 3

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 2 - Assemble: 45 min on Line 3 - Package: 15 min on Line 3 **Product Y:** - Cut: 20 min on Line 2 - Assemble: 60 min on Line 3 - Package: 20 min on Line 2 **Product Z:** - Cut: 40 min on Line 3 - Assemble: 30 min on Line 2 - Package: 25 min on Line 1 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 25 minutes
- Line 2: 100 minutes
- Line 3: 160 minutes

2. Identify bottleneck: The line with maximum load = Line 3
3. Bottleneck load: 160 minutes

Answer: Line 3 (160 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 4

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 2 - Assemble: 45 min on Line 1 - Package: 15 min on Line 2 **Product Y:** - Cut: 20 min on Line 2 - Assemble: 60 min on Line 2 - Package: 20 min on Line 2 **Product Z:** - Cut: 40 min on Line 1 - Assemble: 30 min on Line 1 - Package: 25 min on Line 2 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 115 minutes
- Line 2: 170 minutes
- Line 3: 0 minutes

2. Identify bottleneck: The line with maximum load = Line 2
3. Bottleneck load: 170 minutes

Answer: Line 2 (170 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 5

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 2 - Assemble: 45 min on Line 2 - Package: 15 min on Line 1 **Product Y:** - Cut: 20 min on Line 2 - Assemble: 60 min on Line 1 - Package: 20 min on Line 3 **Product Z:** - Cut: 40 min on Line 1 - Assemble: 30 min on Line 3 - Package: 25 min on Line 2 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 115 minutes
- Line 2: 120 minutes
- Line 3: 50 minutes

2. Identify bottleneck: The line with maximum load = Line 2
3. Bottleneck load: 120 minutes

Answer: Line 2 (120 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 6

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 3 - Assemble: 45 min on Line 1 - Package: 15 min on Line 2 **Product Y:** - Cut: 20 min on Line 2 - Assemble: 60 min on Line 1 - Package: 20 min on Line 1 **Product Z:** - Cut: 40 min on Line 2 - Assemble: 30 min on Line 1 - Package: 25 min on Line 2 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 155 minutes
- Line 2: 100 minutes
- Line 3: 30 minutes

2. Identify bottleneck: The line with maximum load = Line 1
3. Bottleneck load: 155 minutes

Answer: Line 1 (155 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 7

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 3 - Assemble: 45 min on Line 3 - Package: 15 min on Line 2 **Product Y:** - Cut: 20 min on Line 3 - Assemble: 60 min on Line 3 - Package: 20 min on Line 1 **Product Z:** - Cut: 40 min on Line 2 - Assemble: 30 min on Line 3 - Package: 25 min on Line 1 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 45 minutes
- Line 2: 55 minutes
- Line 3: 185 minutes

2. Identify bottleneck: The line with maximum load = Line 3
3. Bottleneck load: 185 minutes

Answer: Line 3 (185 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 8

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 3 - Assemble: 45 min on Line 1 - Package: 15 min on Line 3 **Product Y:** - Cut: 20 min on Line 2 - Assemble: 60 min on Line 3 - Package: 20 min on Line 3 **Product Z:** - Cut: 40 min on Line 3 - Assemble: 30 min on Line 1 - Package: 25 min on Line 1 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 100 minutes
- Line 2: 20 minutes
- Line 3: 165 minutes

2. Identify bottleneck: The line with maximum load = Line 3
3. Bottleneck load: 165 minutes

Answer: Line 3 (165 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 9

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 2 - Assemble: 45 min on Line 2 - Package: 15 min on Line 1 **Product Y:** - Cut: 20 min on Line 2 - Assemble: 60 min on Line 2 - Package: 20 min on Line 2 **Product Z:** - Cut: 40 min on Line 3 - Assemble: 30 min on Line 2 - Package: 25 min on Line 2 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 15 minutes
- Line 2: 230 minutes
- Line 3: 40 minutes

2. Identify bottleneck: The line with maximum load = Line 2
3. Bottleneck load: 230 minutes

Answer: Line 2 (230 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 10

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 3 - Assemble: 45 min on Line 1 - Package: 15 min on Line 2 **Product Y:** - Cut: 20 min on Line 3 - Assemble: 60 min on Line 1 - Package: 20 min on Line 3 **Product Z:** - Cut: 40 min on Line 2 - Assemble: 30 min on Line 3 - Package: 25 min on Line 2 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 105 minutes
- Line 2: 80 minutes
- Line 3: 100 minutes

2. Identify bottleneck: The line with maximum load = Line 1
3. Bottleneck load: 105 minutes

Answer: Line 1 (105 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 11

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 2 - Assemble: 45 min on Line 3 - Package: 15 min on Line 3 **Product Y:** - Cut: 20 min on Line 2 - Assemble: 60 min on Line 3 - Package: 20 min on Line 3 **Product Z:** - Cut: 40 min on Line 2 - Assemble: 30 min on Line 3 - Package: 25 min on Line 1 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 25 minutes
- Line 2: 90 minutes
- Line 3: 170 minutes

2. Identify bottleneck: The line with maximum load = Line 3
3. Bottleneck load: 170 minutes

Answer: Line 3 (170 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 12

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 2 - Assemble: 45 min on Line 3 - Package: 15 min on Line 1 **Product Y:** - Cut: 20 min on Line 1 - Assemble: 60 min on Line 2 - Package: 20 min on Line 2 **Product Z:** - Cut: 40 min on Line 1 - Assemble: 30 min on Line 2 - Package: 25 min on Line 1 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 100 minutes
- Line 2: 140 minutes
- Line 3: 45 minutes

2. Identify bottleneck: The line with maximum load = Line 2
3. Bottleneck load: 140 minutes

Answer: Line 2 (140 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 13

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 1 - Assemble: 45 min on Line 2 - Package: 15 min on Line 2 **Product Y:** - Cut: 20 min on Line 2 - Assemble: 60 min on Line 3 - Package: 20 min on Line 2 **Product Z:** - Cut: 40 min on Line 1 - Assemble: 30 min on Line 2 - Package: 25 min on Line 2 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 70 minutes
- Line 2: 155 minutes
- Line 3: 60 minutes

2. Identify bottleneck: The line with maximum load = Line 2
3. Bottleneck load: 155 minutes

Answer: Line 2 (155 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 14

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 1 - Assemble: 45 min on Line 3 - Package: 15 min on Line 2 **Product Y:** - Cut: 20 min on Line 1 - Assemble: 60 min on Line 3 - Package: 20 min on Line 1 **Product Z:** - Cut: 40 min on Line 3 - Assemble: 30 min on Line 3 - Package: 25 min on Line 1 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 95 minutes
- Line 2: 15 minutes
- Line 3: 175 minutes

2. Identify bottleneck: The line with maximum load = Line 3
3. Bottleneck load: 175 minutes

Answer: Line 3 (175 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 15

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 1 - Assemble: 45 min on Line 3 - Package: 15 min on Line 3 **Product Y:** - Cut: 20 min on Line 2 - Assemble: 60 min on Line 3 - Package: 20 min on Line 3 **Product Z:** - Cut: 40 min on Line 1 - Assemble: 30 min on Line 2 - Package: 25 min on Line 2 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 70 minutes
- Line 2: 75 minutes
- Line 3: 140 minutes

2. Identify bottleneck: The line with maximum load = Line 3
3. Bottleneck load: 140 minutes

Answer: Line 3 (140 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 16

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 1 - Assemble: 45 min on Line 2 - Package: 15 min on Line 3 **Product Y:** - Cut: 20 min on Line 3 - Assemble: 60 min on Line 1 - Package: 20 min on Line 2 **Product Z:** - Cut: 40 min on Line 3 - Assemble: 30 min on Line 1 - Package: 25 min on Line 1 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 145 minutes
- Line 2: 65 minutes
- Line 3: 75 minutes

2. Identify bottleneck: The line with maximum load = Line 1
3. Bottleneck load: 145 minutes

Answer: Line 1 (145 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 17

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 1 - Assemble: 45 min on Line 3 - Package: 15 min on Line 2 **Product Y:** - Cut: 20 min on Line 1 - Assemble: 60 min on Line 2 - Package: 20 min on Line 2 **Product Z:** - Cut: 40 min on Line 3 - Assemble: 30 min on Line 1 - Package: 25 min on Line 3 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 80 minutes
- Line 2: 95 minutes
- Line 3: 110 minutes

2. Identify bottleneck: The line with maximum load = Line 3
3. Bottleneck load: 110 minutes

Answer: Line 3 (110 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 18

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 2 - Assemble: 45 min on Line 2 - Package: 15 min on Line 1 **Product Y:** - Cut: 20 min on Line 3 - Assemble: 60 min on Line 3 - Package: 20 min on Line 2 **Product Z:** - Cut: 40 min on Line 3 - Assemble: 30 min on Line 2 - Package: 25 min on Line 1 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 40 minutes
- Line 2: 125 minutes
- Line 3: 120 minutes

2. Identify bottleneck: The line with maximum load = Line 2
3. Bottleneck load: 125 minutes

Answer: Line 2 (125 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 19

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 3 - Assemble: 45 min on Line 3 - Package: 15 min on Line 2 **Product Y:** - Cut: 20 min on Line 2 - Assemble: 60 min on Line 3 - Package: 20 min on Line 1 **Product Z:** - Cut: 40 min on Line 1 - Assemble: 30 min on Line 2 - Package: 25 min on Line 2 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 60 minutes
- Line 2: 90 minutes
- Line 3: 135 minutes

2. Identify bottleneck: The line with maximum load = Line 3
3. Bottleneck load: 135 minutes

Answer: Line 3 (135 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.

Question 20

A factory has 3 production lines: Line 1, Line 2, Line 3. Three products require the following operations: **Product X:** - Cut: 30 min on Line 2 - Assemble: 45 min on Line 3 - Package: 15 min on Line 1 **Product Y:** - Cut: 20 min on Line 1 - Assemble: 60 min on Line 2 - Package: 20 min on Line 3 **Product Z:** - Cut: 40 min on Line 2 - Assemble: 30 min on Line 2 - Package: 25 min on Line 3 All products must be completed (all 3 operations each). Multiple operations can run in parallel on different lines. Which production line is the bottleneck, and what is its total load (in minutes)?
Step-by-step solution (Bottleneck Analysis):

1. Calculate total load per production line:
- Line 1: 35 minutes
- Line 2: 160 minutes
- Line 3: 90 minutes

2. Identify bottleneck: The line with maximum load = Line 2
3. Bottleneck load: 160 minutes

Answer: Line 2 (160 minutes)

Key Strategy: The bottleneck determines maximum throughput; optimize the bottleneck first for overall efficiency.
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