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Master Dynamic Production Sequencing - Beginner Level Problems Dynamic Production Sequencing BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Dynamic Production Sequencing. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing dynamic production sequencing practice, dynamic production sequencing for competitive exams, and how to solve dynamic production sequencing.

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

What you'll learn in this worksheet:
Your progress through Dynamic Production Sequencing
Worksheet 3 of 10 (22% complete)

Question 1

A machine must process four products (P3, P1, P2, P4) to minimize total time. Processing times: P3: 33, P1: 68, P2: 32, P4: 53 Setup times: | From ↓ / To → | P3 | P1 | P2 | P4 | | P3 | 0 | 32 | 17 | 13 | | P1 | 40 | 0 | 32 | 33 | | P2 | 29 | 27 | 0 | 36 | | P4 | 29 | 17 | 29 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 245 minutes. Sequence: P2 - P3 - P4 - P1.
Calculation: P2 → P3 → P4 → P1.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 2

A machine must process four products (P1, P3, P4, P2) to minimize total time. Processing times: P1: 54, P3: 71, P4: 80, P2: 30 Setup times: | From ↓ / To → | P1 | P3 | P4 | P2 | | P1 | 0 | 18 | 17 | 27 | | P3 | 11 | 0 | 26 | 21 | | P4 | 24 | 11 | 0 | 38 | | P2 | 34 | 22 | 24 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 281 minutes. Sequence: P2 - P4 - P3 - P1.
Calculation: P2 → P4 → P3 → P1.
Time: PT(P2) + (ST(P2→P4) + PT(P4)) + ...

Question 3

A machine must process four products (P4, P3, P2, P1) to minimize total time. Processing times: P4: 82, P3: 62, P2: 62, P1: 77 Setup times: | From ↓ / To → | P4 | P3 | P2 | P1 | | P4 | 0 | 26 | 25 | 40 | | P3 | 13 | 0 | 35 | 12 | | P2 | 15 | 31 | 0 | 37 | | P1 | 11 | 19 | 20 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 330 minutes. Sequence: P3 - P1 - P2 - P4.
Calculation: P3 → P1 → P2 → P4.
Time: PT(P3) + (ST(P3→P1) + PT(P1)) + ...

Question 4

A machine must process four products (P2, P3, P1, P4) to minimize total time. Processing times: P2: 43, P3: 74, P1: 63, P4: 85 Setup times: | From ↓ / To → | P2 | P3 | P1 | P4 | | P2 | 0 | 27 | 40 | 11 | | P3 | 11 | 0 | 16 | 10 | | P1 | 17 | 29 | 0 | 28 | | P4 | 38 | 36 | 28 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 309 minutes. Sequence: P3 - P1 - P2 - P4.
Calculation: P3 → P1 → P2 → P4.
Time: PT(P3) + (ST(P3→P1) + PT(P1)) + ...

Question 5

A machine must process four products (P1, P4, P2, P3) to minimize total time. Processing times: P1: 32, P4: 69, P2: 58, P3: 32 Setup times: | From ↓ / To → | P1 | P4 | P2 | P3 | | P1 | 0 | 28 | 31 | 16 | | P4 | 40 | 0 | 26 | 39 | | P2 | 33 | 25 | 0 | 35 | | P3 | 28 | 30 | 34 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 263 minutes. Sequence: P1 - P3 - P4 - P2.
Calculation: P1 → P3 → P4 → P2.
Time: PT(P1) + (ST(P1→P3) + PT(P3)) + ...

Question 6

A machine must process four products (P2, P4, P3, P1) to minimize total time. Processing times: P2: 77, P4: 84, P3: 51, P1: 67 Setup times: | From ↓ / To → | P2 | P4 | P3 | P1 | | P2 | 0 | 33 | 35 | 33 | | P4 | 21 | 0 | 36 | 26 | | P3 | 28 | 33 | 0 | 34 | | P1 | 22 | 37 | 25 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 358 minutes. Sequence: P4 - P2 - P1 - P3.
Calculation: P4 → P2 → P1 → P3.
Time: PT(P4) + (ST(P4→P2) + PT(P2)) + ...

Question 7

A machine must process four products (P2, P4, P3, P1) to minimize total time. Processing times: P2: 59, P4: 61, P3: 71, P1: 67 Setup times: | From ↓ / To → | P2 | P4 | P3 | P1 | | P2 | 0 | 38 | 27 | 36 | | P4 | 39 | 0 | 21 | 25 | | P3 | 27 | 24 | 0 | 37 | | P1 | 19 | 13 | 26 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 319 minutes. Sequence: P1 - P4 - P3 - P2.
Calculation: P1 → P4 → P3 → P2.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 8

A machine must process four products (P1, P2, P3, P4) to minimize total time. Processing times: P1: 80, P2: 47, P3: 49, P4: 84 Setup times: | From ↓ / To → | P1 | P2 | P3 | P4 | | P1 | 0 | 36 | 33 | 25 | | P2 | 20 | 0 | 16 | 25 | | P3 | 21 | 19 | 0 | 28 | | P4 | 10 | 32 | 31 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 314 minutes. Sequence: P2 - P3 - P4 - P1.
Calculation: P2 → P3 → P4 → P1.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 9

A machine must process four products (P3, P1, P2, P4) to minimize total time. Processing times: P3: 58, P1: 46, P2: 51, P4: 85 Setup times: | From ↓ / To → | P3 | P1 | P2 | P4 | | P3 | 0 | 37 | 16 | 13 | | P1 | 26 | 0 | 20 | 23 | | P2 | 13 | 32 | 0 | 34 | | P4 | 37 | 32 | 15 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 286 minutes. Sequence: P1 - P2 - P3 - P4.
Calculation: P1 → P2 → P3 → P4.
Time: PT(P1) + (ST(P1→P2) + PT(P2)) + ...

Question 10

A machine must process four products (P4, P3, P1, P2) to minimize total time. Processing times: P4: 81, P3: 63, P1: 88, P2: 64 Setup times: | From ↓ / To → | P4 | P3 | P1 | P2 | | P4 | 0 | 37 | 33 | 12 | | P3 | 31 | 0 | 16 | 37 | | P1 | 13 | 21 | 0 | 36 | | P2 | 17 | 12 | 24 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 333 minutes. Sequence: P1 - P4 - P2 - P3.
Calculation: P1 → P4 → P2 → P3.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 11

A machine must process four products (P3, P1, P4, P2) to minimize total time. Processing times: P3: 62, P1: 74, P4: 63, P2: 73 Setup times: | From ↓ / To → | P3 | P1 | P4 | P2 | | P3 | 0 | 18 | 38 | 28 | | P1 | 25 | 0 | 12 | 16 | | P4 | 19 | 37 | 0 | 33 | | P2 | 13 | 25 | 10 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 315 minutes. Sequence: P2 - P3 - P1 - P4.
Calculation: P2 → P3 → P1 → P4.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 12

A machine must process four products (P2, P4, P1, P3) to minimize total time. Processing times: P2: 74, P4: 89, P1: 69, P3: 81 Setup times: | From ↓ / To → | P2 | P4 | P1 | P3 | | P2 | 0 | 21 | 33 | 40 | | P4 | 17 | 0 | 15 | 22 | | P1 | 39 | 39 | 0 | 35 | | P3 | 30 | 25 | 35 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 379 minutes. Sequence: P3 - P2 - P4 - P1.
Calculation: P3 → P2 → P4 → P1.
Time: PT(P3) + (ST(P3→P2) + PT(P2)) + ...

Question 13

A machine must process four products (P3, P2, P1, P4) to minimize total time. Processing times: P3: 86, P2: 76, P1: 62, P4: 42 Setup times: | From ↓ / To → | P3 | P2 | P1 | P4 | | P3 | 0 | 12 | 38 | 32 | | P2 | 22 | 0 | 22 | 18 | | P1 | 33 | 36 | 0 | 20 | | P4 | 19 | 14 | 35 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 317 minutes. Sequence: P1 - P4 - P3 - P2.
Calculation: P1 → P4 → P3 → P2.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 14

A machine must process four products (P4, P1, P2, P3) to minimize total time. Processing times: P4: 82, P1: 80, P2: 69, P3: 70 Setup times: | From ↓ / To → | P4 | P1 | P2 | P3 | | P4 | 0 | 19 | 25 | 21 | | P1 | 30 | 0 | 34 | 14 | | P2 | 24 | 25 | 0 | 36 | | P3 | 19 | 40 | 30 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 358 minutes. Sequence: P2 - P4 - P1 - P3.
Calculation: P2 → P4 → P1 → P3.
Time: PT(P2) + (ST(P2→P4) + PT(P4)) + ...

Question 15

A machine must process four products (P2, P4, P1, P3) to minimize total time. Processing times: P2: 67, P4: 64, P1: 62, P3: 37 Setup times: | From ↓ / To → | P2 | P4 | P1 | P3 | | P2 | 0 | 21 | 17 | 32 | | P4 | 19 | 0 | 12 | 37 | | P1 | 32 | 31 | 0 | 25 | | P3 | 11 | 31 | 36 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 274 minutes. Sequence: P3 - P2 - P4 - P1.
Calculation: P3 → P2 → P4 → P1.
Time: PT(P3) + (ST(P3→P2) + PT(P2)) + ...

Question 16

A machine must process four products (P2, P4, P3, P1) to minimize total time. Processing times: P2: 83, P4: 85, P3: 63, P1: 52 Setup times: | From ↓ / To → | P2 | P4 | P3 | P1 | | P2 | 0 | 11 | 38 | 15 | | P4 | 31 | 0 | 33 | 21 | | P3 | 40 | 13 | 0 | 18 | | P1 | 36 | 11 | 28 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 339 minutes. Sequence: P2 - P1 - P3 - P4.
Calculation: P2 → P1 → P3 → P4.
Time: PT(P2) + (ST(P2→P1) + PT(P1)) + ...

Question 17

A machine must process four products (P2, P3, P1, P4) to minimize total time. Processing times: P2: 79, P3: 65, P1: 34, P4: 71 Setup times: | From ↓ / To → | P2 | P3 | P1 | P4 | | P2 | 0 | 23 | 40 | 10 | | P3 | 15 | 0 | 31 | 27 | | P1 | 23 | 10 | 0 | 32 | | P4 | 35 | 11 | 13 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 282 minutes. Sequence: P2 - P4 - P1 - P3.
Calculation: P2 → P4 → P1 → P3.
Time: PT(P2) + (ST(P2→P4) + PT(P4)) + ...

Question 18

A machine must process four products (P2, P4, P1, P3) to minimize total time. Processing times: P2: 34, P4: 76, P1: 70, P3: 61 Setup times: | From ↓ / To → | P2 | P4 | P1 | P3 | | P2 | 0 | 22 | 40 | 15 | | P4 | 36 | 0 | 12 | 34 | | P1 | 40 | 25 | 0 | 38 | | P3 | 12 | 24 | 15 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 287 minutes. Sequence: P3 - P2 - P4 - P1.
Calculation: P3 → P2 → P4 → P1.
Time: PT(P3) + (ST(P3→P2) + PT(P2)) + ...

Question 19

A machine must process four products (P4, P3, P1, P2) to minimize total time. Processing times: P4: 89, P3: 34, P1: 49, P2: 77 Setup times: | From ↓ / To → | P4 | P3 | P1 | P2 | | P4 | 0 | 11 | 22 | 14 | | P3 | 20 | 0 | 24 | 24 | | P1 | 30 | 17 | 0 | 38 | | P2 | 24 | 24 | 40 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 300 minutes. Sequence: P1 - P3 - P4 - P2.
Calculation: P1 → P3 → P4 → P2.
Time: PT(P1) + (ST(P1→P3) + PT(P3)) + ...

Question 20

A machine must process four products (P2, P1, P3, P4) to minimize total time. Processing times: P2: 39, P1: 37, P3: 69, P4: 89 Setup times: | From ↓ / To → | P2 | P1 | P3 | P4 | | P2 | 0 | 39 | 11 | 26 | | P1 | 28 | 0 | 13 | 12 | | P3 | 12 | 38 | 0 | 15 | | P4 | 37 | 20 | 35 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 279 minutes. Sequence: P4 - P1 - P3 - P2.
Calculation: P4 → P1 → P3 → P2.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...
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