Master Nested Schedule Optimization - Beginner Level Problems Nested Schedule Optimization BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Nested Schedule Optimization. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing nested schedule optimization practice, nested schedule optimization for competitive exams, and how to solve nested schedule optimization.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

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Worksheet 3 of 10 (22% 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 1 - 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 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: 75 minutes
- Line 2: 145 minutes
- Line 3: 65 minutes

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

Answer: Line 2 (145 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 1 **Product Y:** - Cut: 20 min on Line 1 - 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 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: 35 minutes
- Line 2: 140 minutes
- Line 3: 110 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 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 3 - 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 1 - Package: 20 min on Line 2 **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: 75 minutes
- Line 2: 130 minutes
- Line 3: 80 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 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 3 - 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 2 **Product Z:** - Cut: 40 min on Line 1 - 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: 125 minutes
- Line 2: 65 minutes
- Line 3: 95 minutes

2. Identify bottleneck: The line with maximum load = Line 1
3. Bottleneck load: 125 minutes

Answer: Line 1 (125 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 1 - Package: 15 min on Line 1 **Product Y:** - Cut: 20 min on Line 3 - Assemble: 60 min on Line 2 - Package: 20 min on Line 1 **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: 80 minutes
- Line 2: 160 minutes
- Line 3: 45 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.

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 3 - Package: 15 min on Line 1 **Product Y:** - Cut: 20 min on Line 3 - 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 3 - 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: 55 minutes
- Line 2: 80 minutes
- Line 3: 150 minutes

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

Answer: Line 3 (150 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 1 - 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 1 - Package: 20 min on Line 3 **Product Z:** - Cut: 40 min on Line 2 - 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: 180 minutes
- Line 2: 40 minutes
- Line 3: 65 minutes

2. Identify bottleneck: The line with maximum load = Line 1
3. Bottleneck load: 180 minutes

Answer: Line 1 (180 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 2 - Assemble: 45 min on Line 1 - Package: 15 min on Line 1 **Product Y:** - Cut: 20 min on Line 1 - 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 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: 165 minutes
- Line 2: 70 minutes
- Line 3: 50 minutes

2. Identify bottleneck: The line with maximum load = Line 1
3. Bottleneck load: 165 minutes

Answer: Line 1 (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 1 - Assemble: 45 min on Line 1 - 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 2 - 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: 170 minutes
- Line 2: 55 minutes
- Line 3: 60 minutes

2. Identify bottleneck: The line with maximum load = Line 1
3. Bottleneck load: 170 minutes

Answer: Line 1 (170 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 1 - Assemble: 45 min on Line 2 - Package: 15 min on Line 1 **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 1 - 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: 150 minutes
- Line 2: 45 minutes
- Line 3: 90 minutes

2. Identify bottleneck: The line with maximum load = Line 1
3. Bottleneck load: 150 minutes

Answer: Line 1 (150 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 1 - Package: 15 min on Line 3 **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 3 - 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: 105 minutes
- Line 2: 110 minutes
- Line 3: 70 minutes

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

Answer: Line 2 (110 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 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 2 - 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: 90 minutes
- Line 2: 135 minutes
- Line 3: 60 minutes

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

Answer: Line 2 (135 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 3 - Assemble: 45 min on Line 2 - 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 1 **Product Z:** - Cut: 40 min on Line 1 - Assemble: 30 min on Line 3 - 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: 60 minutes
- Line 2: 65 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 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 2 - Assemble: 45 min on Line 1 - Package: 15 min on Line 3 **Product Y:** - Cut: 20 min on Line 1 - Assemble: 60 min on Line 2 - 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 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: 85 minutes
- Line 2: 130 minutes
- Line 3: 70 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 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 3 - 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 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: 15 minutes
- Line 2: 140 minutes
- Line 3: 130 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 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 3 - Assemble: 45 min on Line 2 - Package: 15 min on Line 3 **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 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: 65 minutes
- Line 2: 145 minutes
- Line 3: 75 minutes

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

Answer: Line 2 (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 3 - Assemble: 45 min on Line 3 - Package: 15 min on Line 3 **Product Y:** - Cut: 20 min on Line 3 - Assemble: 60 min on Line 2 - 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 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: 75 minutes
- Line 2: 100 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 3 - Package: 15 min on Line 2 **Product Y:** - Cut: 20 min on Line 3 - 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 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: 30 minutes
- Line 2: 145 minutes
- Line 3: 110 minutes

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

Answer: Line 2 (145 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 2 - 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 2 - 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 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: 110 minutes
- Line 2: 105 minutes
- Line 3: 70 minutes

2. Identify bottleneck: The line with maximum load = Line 1
3. Bottleneck load: 110 minutes

Answer: Line 1 (110 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 1 - 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 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: 90 minutes
- Line 2: 40 minutes
- Line 3: 155 minutes

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

Answer: Line 3 (155 minutes)

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