ReasoningAbility.com

Dynamic Production Sequencing: Worksheet 2 - Beginner Practice Dynamic Production Sequencing BEGINNER

Ready to master Dynamic Production Sequencing? This entry level practice worksheet (2/10) presents 20 beginner-level challenges. Focus area: pattern recognition. Learn to solve dynamic production sequencing reasoning questions, handle dynamic production sequencing practice, and perfect dynamic production sequencing 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 Dynamic Production Sequencing
Worksheet 2 of 10 (11% complete)

Question 1

A machine must process four products (P1, P3, P4, P2) to minimize total time. Processing times: P1: 77, P3: 46, P4: 76, P2: 42 Setup times: | From ↓ / To → | P1 | P3 | P4 | P2 | | P1 | 0 | 25 | 24 | 25 | | P3 | 13 | 0 | 16 | 28 | | P4 | 32 | 13 | 0 | 24 | | P2 | 24 | 29 | 21 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 288 minutes. Sequence: P2 - P4 - P3 - P1.
Calculation: P2 → P4 → P3 → P1.
Time: PT(P2) + (ST(P2→P4) + PT(P4)) + ...

Question 2

A machine must process four products (P2, P4, P3, P1) to minimize total time. Processing times: P2: 67, P4: 67, P3: 88, P1: 62 Setup times: | From ↓ / To → | P2 | P4 | P3 | P1 | | P2 | 0 | 39 | 15 | 40 | | P4 | 12 | 0 | 19 | 37 | | P3 | 39 | 21 | 0 | 39 | | P1 | 14 | 19 | 34 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 330 minutes. Sequence: P1 - P4 - P2 - P3.
Calculation: P1 → P4 → P2 → P3.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 3

A machine must process four products (P1, P3, P4, P2) to minimize total time. Processing times: P1: 42, P3: 68, P4: 56, P2: 37 Setup times: | From ↓ / To → | P1 | P3 | P4 | P2 | | P1 | 0 | 23 | 32 | 23 | | P3 | 40 | 0 | 26 | 14 | | P4 | 28 | 10 | 0 | 34 | | P2 | 17 | 26 | 28 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 244 minutes. Sequence: P4 - P3 - P2 - P1.
Calculation: P4 → P3 → P2 → P1.
Time: PT(P4) + (ST(P4→P3) + PT(P3)) + ...

Question 4

A machine must process four products (P3, P4, P1, P2) to minimize total time. Processing times: P3: 38, P4: 34, P1: 45, P2: 35 Setup times: | From ↓ / To → | P3 | P4 | P1 | P2 | | P3 | 0 | 39 | 13 | 16 | | P4 | 13 | 0 | 25 | 16 | | P1 | 20 | 18 | 0 | 23 | | P2 | 29 | 25 | 25 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 199 minutes. Sequence: P3 - P1 - P4 - P2.
Calculation: P3 → P1 → P4 → P2.
Time: PT(P3) + (ST(P3→P1) + PT(P1)) + ...

Question 5

A machine must process four products (P2, P1, P3, P4) to minimize total time. Processing times: P2: 85, P1: 89, P3: 42, P4: 86 Setup times: | From ↓ / To → | P2 | P1 | P3 | P4 | | P2 | 0 | 30 | 18 | 34 | | P1 | 29 | 0 | 23 | 25 | | P3 | 13 | 26 | 0 | 23 | | P4 | 15 | 13 | 28 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 351 minutes. Sequence: P4 - P1 - P3 - P2.
Calculation: P4 → P1 → P3 → P2.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...

Question 6

A machine must process four products (P1, P2, P3, P4) to minimize total time. Processing times: P1: 40, P2: 30, P3: 78, P4: 82 Setup times: | From ↓ / To → | P1 | P2 | P3 | P4 | | P1 | 0 | 27 | 40 | 31 | | P2 | 34 | 0 | 39 | 31 | | P3 | 40 | 26 | 0 | 17 | | P4 | 26 | 24 | 34 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 300 minutes. Sequence: P3 - P4 - P1 - P2.
Calculation: P3 → P4 → P1 → P2.
Time: PT(P3) + (ST(P3→P4) + PT(P4)) + ...

Question 7

A machine must process four products (P3, P4, P2, P1) to minimize total time. Processing times: P3: 34, P4: 70, P2: 75, P1: 79 Setup times: | From ↓ / To → | P3 | P4 | P2 | P1 | | P3 | 0 | 39 | 27 | 31 | | P4 | 21 | 0 | 39 | 17 | | P2 | 14 | 39 | 0 | 28 | | P1 | 15 | 40 | 12 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 301 minutes. Sequence: P4 - P1 - P2 - P3.
Calculation: P4 → P1 → P2 → P3.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...

Question 8

A machine must process four products (P1, P3, P2, P4) to minimize total time. Processing times: P1: 42, P3: 55, P2: 55, P4: 75 Setup times: | From ↓ / To → | P1 | P3 | P2 | P4 | | P1 | 0 | 32 | 17 | 32 | | P3 | 30 | 0 | 12 | 26 | | P2 | 24 | 20 | 0 | 23 | | P4 | 36 | 31 | 23 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 290 minutes. Sequence: P1 - P2 - P3 - P4.
Calculation: P1 → P2 → P3 → P4.
Time: PT(P1) + (ST(P1→P2) + PT(P2)) + ...

Question 9

A machine must process four products (P3, P2, P4, P1) to minimize total time. Processing times: P3: 40, P2: 55, P4: 59, P1: 51 Setup times: | From ↓ / To → | P3 | P2 | P4 | P1 | | P3 | 0 | 27 | 40 | 30 | | P2 | 27 | 0 | 15 | 19 | | P4 | 38 | 16 | 0 | 16 | | P1 | 11 | 37 | 25 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 247 minutes. Sequence: P2 - P4 - P1 - P3.
Calculation: P2 → P4 → P1 → P3.
Time: PT(P2) + (ST(P2→P4) + PT(P4)) + ...

Question 10

A machine must process four products (P2, P4, P1, P3) to minimize total time. Processing times: P2: 51, P4: 78, P1: 44, P3: 43 Setup times: | From ↓ / To → | P2 | P4 | P1 | P3 | | P2 | 0 | 30 | 40 | 19 | | P4 | 33 | 0 | 15 | 33 | | P1 | 13 | 33 | 0 | 22 | | P3 | 29 | 34 | 21 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 263 minutes. Sequence: P4 - P1 - P2 - P3.
Calculation: P4 → P1 → P2 → P3.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...

Question 11

A machine must process four products (P2, P3, P4, P1) to minimize total time. Processing times: P2: 84, P3: 90, P4: 65, P1: 64 Setup times: | From ↓ / To → | P2 | P3 | P4 | P1 | | P2 | 0 | 16 | 15 | 12 | | P3 | 19 | 0 | 31 | 25 | | P4 | 22 | 39 | 0 | 17 | | P1 | 38 | 31 | 33 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 354 minutes. Sequence: P3 - P2 - P4 - P1.
Calculation: P3 → P2 → P4 → P1.
Time: PT(P3) + (ST(P3→P2) + PT(P2)) + ...

Question 12

A machine must process four products (P3, P4, P2, P1) to minimize total time. Processing times: P3: 79, P4: 90, P2: 41, P1: 60 Setup times: | From ↓ / To → | P3 | P4 | P2 | P1 | | P3 | 0 | 26 | 18 | 37 | | P4 | 19 | 0 | 38 | 39 | | P2 | 11 | 34 | 0 | 28 | | P1 | 29 | 18 | 18 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 325 minutes. Sequence: P1 - P4 - P3 - P2.
Calculation: P1 → P4 → P3 → P2.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 13

A machine must process four products (P1, P2, P3, P4) to minimize total time. Processing times: P1: 35, P2: 66, P3: 58, P4: 59 Setup times: | From ↓ / To → | P1 | P2 | P3 | P4 | | P1 | 0 | 33 | 34 | 36 | | P2 | 31 | 0 | 33 | 33 | | P3 | 34 | 13 | 0 | 24 | | P4 | 29 | 11 | 10 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 272 minutes. Sequence: P4 - P3 - P2 - P1.
Calculation: P4 → P3 → P2 → P1.
Time: PT(P4) + (ST(P4→P3) + PT(P3)) + ...

Question 14

A machine must process four products (P3, P1, P2, P4) to minimize total time. Processing times: P3: 41, P1: 34, P2: 89, P4: 49 Setup times: | From ↓ / To → | P3 | P1 | P2 | P4 | | P3 | 0 | 25 | 33 | 30 | | P1 | 28 | 0 | 32 | 10 | | P2 | 25 | 11 | 0 | 37 | | P4 | 12 | 24 | 19 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 246 minutes. Sequence: P2 - P1 - P4 - P3.
Calculation: P2 → P1 → P4 → P3.
Time: PT(P2) + (ST(P2→P1) + PT(P1)) + ...

Question 15

A machine must process four products (P4, P1, P2, P3) to minimize total time. Processing times: P4: 90, P1: 84, P2: 60, P3: 34 Setup times: | From ↓ / To → | P4 | P1 | P2 | P3 | | P4 | 0 | 22 | 18 | 19 | | P1 | 16 | 0 | 27 | 15 | | P2 | 19 | 39 | 0 | 29 | | P3 | 30 | 15 | 35 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 317 minutes. Sequence: P3 - P1 - P4 - P2.
Calculation: P3 → P1 → P4 → P2.
Time: PT(P3) + (ST(P3→P1) + PT(P1)) + ...

Question 16

A machine must process four products (P3, P4, P2, P1) to minimize total time. Processing times: P3: 38, P4: 85, P2: 58, P1: 68 Setup times: | From ↓ / To → | P3 | P4 | P2 | P1 | | P3 | 0 | 18 | 39 | 19 | | P4 | 35 | 0 | 25 | 22 | | P2 | 10 | 23 | 0 | 15 | | P1 | 21 | 17 | 15 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 292 minutes. Sequence: P1 - P2 - P3 - P4.
Calculation: P1 → P2 → P3 → P4.
Time: PT(P1) + (ST(P1→P2) + PT(P2)) + ...

Question 17

A machine must process four products (P2, P4, P1, P3) to minimize total time. Processing times: P2: 84, P4: 32, P1: 42, P3: 62 Setup times: | From ↓ / To → | P2 | P4 | P1 | P3 | | P2 | 0 | 28 | 18 | 27 | | P4 | 29 | 0 | 37 | 21 | | P1 | 30 | 23 | 0 | 20 | | P3 | 19 | 33 | 15 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 278 minutes. Sequence: P4 - P3 - P2 - P1.
Calculation: P4 → P3 → P2 → P1.
Time: PT(P4) + (ST(P4→P3) + PT(P3)) + ...

Question 18

A machine must process four products (P3, P2, P4, P1) to minimize total time. Processing times: P3: 63, P2: 43, P4: 31, P1: 77 Setup times: | From ↓ / To → | P3 | P2 | P4 | P1 | | P3 | 0 | 25 | 28 | 36 | | P2 | 32 | 0 | 37 | 27 | | P4 | 40 | 29 | 0 | 28 | | P1 | 19 | 37 | 40 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 286 minutes. Sequence: P4 - P1 - P3 - P2.
Calculation: P4 → P1 → P3 → P2.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...

Question 19

A machine must process four products (P2, P3, P1, P4) to minimize total time. Processing times: P2: 31, P3: 39, P1: 34, P4: 42 Setup times: | From ↓ / To → | P2 | P3 | P1 | P4 | | P2 | 0 | 35 | 34 | 13 | | P3 | 14 | 0 | 24 | 16 | | P1 | 37 | 23 | 0 | 35 | | P4 | 22 | 37 | 16 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 189 minutes. Sequence: P3 - P2 - P4 - P1.
Calculation: P3 → P2 → P4 → P1.
Time: PT(P3) + (ST(P3→P2) + PT(P2)) + ...

Question 20

A machine must process four products (P2, P3, P4, P1) to minimize total time. Processing times: P2: 85, P3: 51, P4: 31, P1: 75 Setup times: | From ↓ / To → | P2 | P3 | P4 | P1 | | P2 | 0 | 19 | 25 | 14 | | P3 | 33 | 0 | 25 | 32 | | P4 | 30 | 28 | 0 | 19 | | P1 | 18 | 29 | 27 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 298 minutes. Sequence: P4 - P1 - P2 - P3.
Calculation: P4 → P1 → P2 → P3.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...
Previous Worksheet Next Worksheet