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Master Fuzzy Time Scheduling - Beginner Level Problems Fuzzy Time Scheduling BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Fuzzy Time Scheduling. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing fuzzy time scheduling practice, fuzzy time scheduling for competitive exams, and how to solve fuzzy time scheduling.

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

What you'll learn in this worksheet:
Your progress through Fuzzy Time Scheduling
Worksheet 3 of 10 (22% complete)

Question 1

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (4, 6, 9) - Development: (3, 5, 8) - Testing: (2, 5, 8) - Deployment: (2, 5, 7) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (4 + 4×6 + 9)/6 = 6.2
- Development: (3 + 4×5 + 8)/6 = 5.2
- Testing: (2 + 4×5 + 8)/6 = 5.0
- Deployment: (2 + 4×5 + 7)/6 = 4.8

2. Total expected duration: 21.2 days

Answer: 21.2 days

Question 2

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (3, 4, 6) - Development: (2, 3, 4) - Testing: (4, 6, 8) - Deployment: (3, 6, 9) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (3 + 4×4 + 6)/6 = 4.2
- Development: (2 + 4×3 + 4)/6 = 3.0
- Testing: (4 + 4×6 + 8)/6 = 6.0
- Deployment: (3 + 4×6 + 9)/6 = 6.0

2. Total expected duration: 19.2 days

Answer: 19.2 days

Question 3

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (4, 6, 8) - Development: (2, 4, 7) - Testing: (2, 3, 5) - Deployment: (4, 6, 9) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (4 + 4×6 + 8)/6 = 6.0
- Development: (2 + 4×4 + 7)/6 = 4.2
- Testing: (2 + 4×3 + 5)/6 = 3.2
- Deployment: (4 + 4×6 + 9)/6 = 6.2

2. Total expected duration: 19.5 days

Answer: 19.5 days

Question 4

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (2, 5, 7) - Development: (3, 4, 5) - Testing: (4, 5, 7) - Deployment: (4, 6, 7) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (2 + 4×5 + 7)/6 = 4.8
- Development: (3 + 4×4 + 5)/6 = 4.0
- Testing: (4 + 4×5 + 7)/6 = 5.2
- Deployment: (4 + 4×6 + 7)/6 = 5.8

2. Total expected duration: 19.8 days

Answer: 19.8 days

Question 5

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (4, 6, 8) - Development: (4, 6, 8) - Testing: (3, 5, 8) - Deployment: (2, 3, 4) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (4 + 4×6 + 8)/6 = 6.0
- Development: (4 + 4×6 + 8)/6 = 6.0
- Testing: (3 + 4×5 + 8)/6 = 5.2
- Deployment: (2 + 4×3 + 4)/6 = 3.0

2. Total expected duration: 20.2 days

Answer: 20.2 days

Question 6

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (4, 6, 9) - Development: (2, 5, 8) - Testing: (3, 6, 9) - Deployment: (3, 6, 9) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (4 + 4×6 + 9)/6 = 6.2
- Development: (2 + 4×5 + 8)/6 = 5.0
- Testing: (3 + 4×6 + 9)/6 = 6.0
- Deployment: (3 + 4×6 + 9)/6 = 6.0

2. Total expected duration: 23.2 days

Answer: 23.2 days

Question 7

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (4, 6, 9) - Development: (2, 5, 8) - Testing: (2, 4, 7) - Deployment: (4, 7, 8) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (4 + 4×6 + 9)/6 = 6.2
- Development: (2 + 4×5 + 8)/6 = 5.0
- Testing: (2 + 4×4 + 7)/6 = 4.2
- Deployment: (4 + 4×7 + 8)/6 = 6.7

2. Total expected duration: 22.0 days

Answer: 22.0 days

Question 8

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (4, 5, 8) - Development: (4, 6, 7) - Testing: (2, 3, 4) - Deployment: (3, 6, 7) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (4 + 4×5 + 8)/6 = 5.3
- Development: (4 + 4×6 + 7)/6 = 5.8
- Testing: (2 + 4×3 + 4)/6 = 3.0
- Deployment: (3 + 4×6 + 7)/6 = 5.7

2. Total expected duration: 19.8 days

Answer: 19.8 days

Question 9

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (2, 3, 5) - Development: (2, 5, 6) - Testing: (2, 5, 8) - Deployment: (4, 7, 8) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (2 + 4×3 + 5)/6 = 3.2
- Development: (2 + 4×5 + 6)/6 = 4.7
- Testing: (2 + 4×5 + 8)/6 = 5.0
- Deployment: (4 + 4×7 + 8)/6 = 6.7

2. Total expected duration: 19.5 days

Answer: 19.5 days

Question 10

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (2, 5, 7) - Development: (3, 5, 7) - Testing: (2, 5, 7) - Deployment: (2, 4, 6) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (2 + 4×5 + 7)/6 = 4.8
- Development: (3 + 4×5 + 7)/6 = 5.0
- Testing: (2 + 4×5 + 7)/6 = 4.8
- Deployment: (2 + 4×4 + 6)/6 = 4.0

2. Total expected duration: 18.7 days

Answer: 18.7 days

Question 11

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (4, 7, 10) - Development: (3, 5, 6) - Testing: (3, 6, 7) - Deployment: (3, 4, 7) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (4 + 4×7 + 10)/6 = 7.0
- Development: (3 + 4×5 + 6)/6 = 4.8
- Testing: (3 + 4×6 + 7)/6 = 5.7
- Deployment: (3 + 4×4 + 7)/6 = 4.3

2. Total expected duration: 21.8 days

Answer: 21.8 days

Question 12

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (3, 4, 5) - Development: (2, 5, 8) - Testing: (4, 6, 8) - Deployment: (2, 4, 7) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (3 + 4×4 + 5)/6 = 4.0
- Development: (2 + 4×5 + 8)/6 = 5.0
- Testing: (4 + 4×6 + 8)/6 = 6.0
- Deployment: (2 + 4×4 + 7)/6 = 4.2

2. Total expected duration: 19.2 days

Answer: 19.2 days

Question 13

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (3, 6, 9) - Development: (4, 6, 7) - Testing: (4, 7, 10) - Deployment: (3, 5, 8) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (3 + 4×6 + 9)/6 = 6.0
- Development: (4 + 4×6 + 7)/6 = 5.8
- Testing: (4 + 4×7 + 10)/6 = 7.0
- Deployment: (3 + 4×5 + 8)/6 = 5.2

2. Total expected duration: 24.0 days

Answer: 24.0 days

Question 14

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (3, 4, 6) - Development: (2, 3, 6) - Testing: (2, 4, 7) - Deployment: (3, 4, 7) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (3 + 4×4 + 6)/6 = 4.2
- Development: (2 + 4×3 + 6)/6 = 3.3
- Testing: (2 + 4×4 + 7)/6 = 4.2
- Deployment: (3 + 4×4 + 7)/6 = 4.3

2. Total expected duration: 16.0 days

Answer: 16.0 days

Question 15

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (2, 5, 6) - Development: (4, 5, 7) - Testing: (3, 6, 9) - Deployment: (4, 7, 8) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (2 + 4×5 + 6)/6 = 4.7
- Development: (4 + 4×5 + 7)/6 = 5.2
- Testing: (3 + 4×6 + 9)/6 = 6.0
- Deployment: (4 + 4×7 + 8)/6 = 6.7

2. Total expected duration: 22.5 days

Answer: 22.5 days

Question 16

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (4, 5, 8) - Development: (4, 5, 8) - Testing: (3, 6, 9) - Deployment: (2, 4, 7) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (4 + 4×5 + 8)/6 = 5.3
- Development: (4 + 4×5 + 8)/6 = 5.3
- Testing: (3 + 4×6 + 9)/6 = 6.0
- Deployment: (2 + 4×4 + 7)/6 = 4.2

2. Total expected duration: 20.8 days

Answer: 20.8 days

Question 17

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (2, 3, 4) - Development: (4, 6, 7) - Testing: (3, 4, 6) - Deployment: (3, 4, 5) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (2 + 4×3 + 4)/6 = 3.0
- Development: (4 + 4×6 + 7)/6 = 5.8
- Testing: (3 + 4×4 + 6)/6 = 4.2
- Deployment: (3 + 4×4 + 5)/6 = 4.0

2. Total expected duration: 17.0 days

Answer: 17.0 days

Question 18

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (3, 6, 9) - Development: (3, 6, 9) - Testing: (2, 4, 6) - Deployment: (2, 5, 7) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (3 + 4×6 + 9)/6 = 6.0
- Development: (3 + 4×6 + 9)/6 = 6.0
- Testing: (2 + 4×4 + 6)/6 = 4.0
- Deployment: (2 + 4×5 + 7)/6 = 4.8

2. Total expected duration: 20.8 days

Answer: 20.8 days

Question 19

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (3, 6, 9) - Development: (3, 4, 7) - Testing: (2, 5, 6) - Deployment: (4, 7, 10) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (3 + 4×6 + 9)/6 = 6.0
- Development: (3 + 4×4 + 7)/6 = 4.3
- Testing: (2 + 4×5 + 6)/6 = 4.7
- Deployment: (4 + 4×7 + 10)/6 = 7.0

2. Total expected duration: 22.0 days

Answer: 22.0 days

Question 20

Project tasks with uncertain durations (optimistic, likely, pessimistic) in days: - Design: (4, 5, 6) - Development: (4, 5, 8) - Testing: (2, 3, 6) - Deployment: (4, 6, 8) Using the PERT formula (O + 4M + P)/6, what is the expected total project duration?
Step-by-step solution (PERT):

1. Calculate expected duration for each task:
- Design: (4 + 4×5 + 6)/6 = 5.0
- Development: (4 + 4×5 + 8)/6 = 5.3
- Testing: (2 + 4×3 + 6)/6 = 3.3
- Deployment: (4 + 4×6 + 8)/6 = 6.0

2. Total expected duration: 19.7 days

Answer: 19.7 days
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