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Dynamic Production Sequencing Beginner-Intermediate Worksheet: Focus on common variations practice Dynamic Production Sequencing BEGINNER INTERMEDIATE

Level up your Dynamic Production Sequencing skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: dynamic production sequencing for competitive exams, how to solve dynamic production sequencing, dynamic production sequencing tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Dynamic Production Sequencing
Worksheet 4 of 10 (33% complete)

Question 1

A machine must process four products (P1, P4, P2, P3) to minimize total time. Processing times: P1: 90, P4: 41, P2: 61, P3: 38 Setup times: | From ↓ / To → | P1 | P4 | P2 | P3 | | P1 | 0 | 28 | 27 | 21 | | P4 | 21 | 0 | 24 | 21 | | P2 | 39 | 19 | 0 | 26 | | P3 | 20 | 11 | 27 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 286 minutes. Sequence: P1 - P3 - P4 - P2.
Calculation: P1 → P3 → P4 → P2.
Time: PT(P1) + (ST(P1→P3) + PT(P3)) + ...

Question 2

A machine must process four products (P3, P4, P1, P2) to minimize total time. Processing times: P3: 35, P4: 35, P1: 81, P2: 36 Setup times: | From ↓ / To → | P3 | P4 | P1 | P2 | | P3 | 0 | 37 | 28 | 23 | | P4 | 18 | 0 | 29 | 40 | | P1 | 25 | 37 | 0 | 16 | | P2 | 36 | 13 | 29 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 234 minutes. Sequence: P1 - P2 - P4 - P3.
Calculation: P1 → P2 → P4 → P3.
Time: PT(P1) + (ST(P1→P2) + PT(P2)) + ...

Question 3

A machine must process four products (P1, P2, P4, P3) to minimize total time. Processing times: P1: 54, P2: 87, P4: 35, P3: 35 Setup times: | From ↓ / To → | P1 | P2 | P4 | P3 | | P1 | 0 | 11 | 15 | 17 | | P2 | 36 | 0 | 37 | 28 | | P4 | 13 | 25 | 0 | 18 | | P3 | 27 | 38 | 24 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 259 minutes. Sequence: P3 - P4 - P1 - P2.
Calculation: P3 → P4 → P1 → P2.
Time: PT(P3) + (ST(P3→P4) + PT(P4)) + ...

Question 4

A machine must process four products (P3, P2, P1, P4) to minimize total time. Processing times: P3: 32, P2: 36, P1: 41, P4: 44 Setup times: | From ↓ / To → | P3 | P2 | P1 | P4 | | P3 | 0 | 23 | 19 | 37 | | P2 | 29 | 0 | 10 | 18 | | P1 | 18 | 24 | 0 | 16 | | P4 | 13 | 15 | 16 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 192 minutes. Sequence: P2 - P1 - P4 - P3.
Calculation: P2 → P1 → P4 → P3.
Time: PT(P2) + (ST(P2→P1) + PT(P1)) + ...

Question 5

A machine must process four products (P4, P1, P2, P3) to minimize total time. Processing times: P4: 58, P1: 87, P2: 40, P3: 51 Setup times: | From ↓ / To → | P4 | P1 | P2 | P3 | | P4 | 0 | 30 | 33 | 20 | | P1 | 21 | 0 | 27 | 11 | | P2 | 23 | 39 | 0 | 40 | | P3 | 11 | 21 | 22 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 291 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 (P4, P1, P2, P3) to minimize total time. Processing times: P4: 38, P1: 60, P2: 40, P3: 80 Setup times: | From ↓ / To → | P4 | P1 | P2 | P3 | | P4 | 0 | 20 | 23 | 15 | | P1 | 27 | 0 | 25 | 18 | | P2 | 25 | 10 | 0 | 31 | | P3 | 10 | 14 | 19 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 256 minutes. Sequence: P2 - P1 - P3 - P4.
Calculation: P2 → P1 → P3 → P4.
Time: PT(P2) + (ST(P2→P1) + PT(P1)) + ...

Question 7

A machine must process four products (P3, P1, P4, P2) to minimize total time. Processing times: P3: 80, P1: 87, P4: 84, P2: 86 Setup times: | From ↓ / To → | P3 | P1 | P4 | P2 | | P3 | 0 | 20 | 39 | 28 | | P1 | 21 | 0 | 30 | 16 | | P4 | 39 | 24 | 0 | 36 | | P2 | 15 | 23 | 25 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 392 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 (P4, P3, P2, P1) to minimize total time. Processing times: P4: 42, P3: 69, P2: 75, P1: 51 Setup times: | From ↓ / To → | P4 | P3 | P2 | P1 | | P4 | 0 | 16 | 39 | 25 | | P3 | 20 | 0 | 38 | 27 | | P2 | 16 | 35 | 0 | 12 | | P1 | 12 | 21 | 38 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 277 minutes. Sequence: P2 - P1 - P4 - P3.
Calculation: P2 → P1 → P4 → P3.
Time: PT(P2) + (ST(P2→P1) + PT(P1)) + ...

Question 9

A machine must process four products (P4, P2, P3, P1) to minimize total time. Processing times: P4: 86, P2: 83, P3: 32, P1: 90 Setup times: | From ↓ / To → | P4 | P2 | P3 | P1 | | P4 | 0 | 14 | 10 | 26 | | P2 | 25 | 0 | 34 | 27 | | P3 | 35 | 23 | 0 | 31 | | P1 | 25 | 38 | 31 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 349 minutes. Sequence: P1 - P4 - P3 - P2.
Calculation: P1 → P4 → P3 → P2.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 10

A machine must process four products (P2, P1, P4, P3) to minimize total time. Processing times: P2: 63, P1: 69, P4: 36, P3: 34 Setup times: | From ↓ / To → | P2 | P1 | P4 | P3 | | P2 | 0 | 14 | 19 | 22 | | P1 | 16 | 0 | 20 | 14 | | P4 | 38 | 32 | 0 | 13 | | P3 | 15 | 21 | 11 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 241 minutes. Sequence: P2 - P1 - P3 - P4.
Calculation: P2 → P1 → P3 → P4.
Time: PT(P2) + (ST(P2→P1) + PT(P1)) + ...

Question 11

A machine must process four products (P2, P4, P1, P3) to minimize total time. Processing times: P2: 69, P4: 89, P1: 87, P3: 30 Setup times: | From ↓ / To → | P2 | P4 | P1 | P3 | | P2 | 0 | 22 | 22 | 30 | | P4 | 23 | 0 | 11 | 18 | | P1 | 24 | 17 | 0 | 27 | | P3 | 12 | 38 | 40 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 320 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 (P2, P3, P4, P1) to minimize total time. Processing times: P2: 35, P3: 37, P4: 53, P1: 88 Setup times: | From ↓ / To → | P2 | P3 | P4 | P1 | | P2 | 0 | 18 | 39 | 18 | | P3 | 10 | 0 | 38 | 25 | | P4 | 22 | 36 | 0 | 40 | | P1 | 12 | 24 | 13 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 254 minutes. Sequence: P3 - P2 - P1 - P4.
Calculation: P3 → P2 → P1 → P4.
Time: PT(P3) + (ST(P3→P2) + PT(P2)) + ...

Question 13

A machine must process four products (P1, P4, P3, P2) to minimize total time. Processing times: P1: 65, P4: 88, P3: 51, P2: 90 Setup times: | From ↓ / To → | P1 | P4 | P3 | P2 | | P1 | 0 | 16 | 33 | 25 | | P4 | 38 | 0 | 16 | 10 | | P3 | 16 | 16 | 0 | 14 | | P2 | 28 | 12 | 34 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 336 minutes. Sequence: P3 - P1 - P4 - P2.
Calculation: P3 → P1 → P4 → P2.
Time: PT(P3) + (ST(P3→P1) + PT(P1)) + ...

Question 14

A machine must process four products (P3, P2, P4, P1) to minimize total time. Processing times: P3: 70, P2: 50, P4: 38, P1: 33 Setup times: | From ↓ / To → | P3 | P2 | P4 | P1 | | P3 | 0 | 23 | 30 | 33 | | P2 | 23 | 0 | 28 | 27 | | P4 | 10 | 19 | 0 | 18 | | P1 | 15 | 32 | 15 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 239 minutes. Sequence: P1 - P4 - P3 - P2.
Calculation: P1 → P4 → P3 → P2.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 15

A machine must process four products (P1, P3, P4, P2) to minimize total time. Processing times: P1: 86, P3: 54, P4: 59, P2: 85 Setup times: | From ↓ / To → | P1 | P3 | P4 | P2 | | P1 | 0 | 31 | 13 | 36 | | P3 | 15 | 0 | 31 | 25 | | P4 | 36 | 34 | 0 | 13 | | P2 | 24 | 25 | 35 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 325 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 (P4, P3, P1, P2) to minimize total time. Processing times: P4: 71, P3: 44, P1: 48, P2: 68 Setup times: | From ↓ / To → | P4 | P3 | P1 | P2 | | P4 | 0 | 24 | 15 | 34 | | P3 | 20 | 0 | 34 | 37 | | P1 | 22 | 37 | 0 | 26 | | P2 | 36 | 12 | 30 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 278 minutes. Sequence: P2 - P3 - P4 - P1.
Calculation: P2 → P3 → P4 → P1.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 17

A machine must process four products (P2, P4, P1, P3) to minimize total time. Processing times: P2: 31, P4: 72, P1: 90, P3: 71 Setup times: | From ↓ / To → | P2 | P4 | P1 | P3 | | P2 | 0 | 37 | 17 | 19 | | P4 | 16 | 0 | 22 | 33 | | P1 | 31 | 22 | 0 | 13 | | P3 | 20 | 33 | 14 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 310 minutes. Sequence: P4 - P2 - P1 - P3.
Calculation: P4 → P2 → P1 → P3.
Time: PT(P4) + (ST(P4→P2) + PT(P2)) + ...

Question 18

A machine must process four products (P2, P3, P1, P4) to minimize total time. Processing times: P2: 71, P3: 74, P1: 74, P4: 65 Setup times: | From ↓ / To → | P2 | P3 | P1 | P4 | | P2 | 0 | 10 | 34 | 16 | | P3 | 33 | 0 | 19 | 27 | | P1 | 24 | 16 | 0 | 26 | | P4 | 10 | 12 | 11 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 323 minutes. Sequence: P4 - P2 - P3 - P1.
Calculation: P4 → P2 → P3 → P1.
Time: PT(P4) + (ST(P4→P2) + PT(P2)) + ...

Question 19

A machine must process four products (P1, P3, P2, P4) to minimize total time. Processing times: P1: 69, P3: 70, P2: 62, P4: 47 Setup times: | From ↓ / To → | P1 | P3 | P2 | P4 | | P1 | 0 | 25 | 33 | 18 | | P3 | 26 | 0 | 39 | 28 | | P2 | 31 | 18 | 0 | 28 | | P4 | 19 | 24 | 29 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 310 minutes. Sequence: P2 - P3 - P1 - P4.
Calculation: P2 → P3 → P1 → P4.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 20

A machine must process four products (P4, P1, P2, P3) to minimize total time. Processing times: P4: 43, P1: 76, P2: 34, P3: 58 Setup times: | From ↓ / To → | P4 | P1 | P2 | P3 | | P4 | 0 | 16 | 37 | 26 | | P1 | 10 | 0 | 10 | 18 | | P2 | 11 | 38 | 0 | 10 | | P3 | 21 | 20 | 20 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 247 minutes. Sequence: P4 - P1 - P2 - P3.
Calculation: P4 → P1 → P2 → P3.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...
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