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Dynamic Production Sequencing: Worksheet 10 - Expert Practice Dynamic Production Sequencing EXPERT

Ready to master Dynamic Production Sequencing? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve dynamic production sequencing reasoning tricks, handle fast dynamic production sequencing solving, and perfect dynamic production sequencing mastery with our step-by-step solutions.

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

What you'll learn in this worksheet:
Your progress through Dynamic Production Sequencing
Worksheet 10 of 10 (100% complete)

Question 1

A machine must process four products (P2, P3, P1, P4) to minimize total time. Processing times: P2: 77, P3: 73, P1: 30, P4: 54 Setup times: | From ↓ / To → | P2 | P3 | P1 | P4 | | P2 | 0 | 29 | 15 | 16 | | P3 | 10 | 0 | 31 | 13 | | P1 | 38 | 38 | 0 | 26 | | P4 | 40 | 32 | 40 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 285 minutes. Sequence: P3 - P2 - P1 - P4.
Calculation: P3 → P2 → P1 → P4.
Time: PT(P3) + (ST(P3→P2) + PT(P2)) + ...

Question 2

A machine must process four products (P3, P4, P1, P2) to minimize total time. Processing times: P3: 88, P4: 52, P1: 84, P2: 80 Setup times: | From ↓ / To → | P3 | P4 | P1 | P2 | | P3 | 0 | 35 | 33 | 36 | | P4 | 31 | 0 | 29 | 27 | | P1 | 19 | 28 | 0 | 27 | | P2 | 22 | 21 | 33 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 373 minutes. Sequence: P2 - P4 - P1 - P3.
Calculation: P2 → P4 → P1 → P3.
Time: PT(P2) + (ST(P2→P4) + PT(P4)) + ...

Question 3

A machine must process four products (P1, P4, P2, P3) to minimize total time. Processing times: P1: 51, P4: 71, P2: 70, P3: 36 Setup times: | From ↓ / To → | P1 | P4 | P2 | P3 | | P1 | 0 | 34 | 23 | 40 | | P4 | 26 | 0 | 30 | 26 | | P2 | 11 | 25 | 0 | 19 | | P3 | 33 | 13 | 36 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 282 minutes. Sequence: P3 - P4 - P2 - P1.
Calculation: P3 → P4 → P2 → P1.
Time: PT(P3) + (ST(P3→P4) + PT(P4)) + ...

Question 4

A machine must process four products (P1, P3, P4, P2) to minimize total time. Processing times: P1: 43, P3: 70, P4: 38, P2: 30 Setup times: | From ↓ / To → | P1 | P3 | P4 | P2 | | P1 | 0 | 32 | 27 | 15 | | P3 | 16 | 0 | 10 | 29 | | P4 | 26 | 37 | 0 | 33 | | P2 | 11 | 18 | 19 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 224 minutes. Sequence: P1 - P2 - P3 - P4.
Calculation: P1 → P2 → P3 → P4.
Time: PT(P1) + (ST(P1→P2) + PT(P2)) + ...

Question 5

A machine must process four products (P1, P4, P3, P2) to minimize total time. Processing times: P1: 47, P4: 83, P3: 57, P2: 77 Setup times: | From ↓ / To → | P1 | P4 | P3 | P2 | | P1 | 0 | 16 | 16 | 21 | | P4 | 30 | 0 | 33 | 37 | | P3 | 17 | 28 | 0 | 38 | | P2 | 40 | 37 | 16 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 313 minutes. Sequence: P2 - P3 - P1 - P4.
Calculation: P2 → P3 → P1 → P4.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 6

A machine must process four products (P1, P2, P4, P3) to minimize total time. Processing times: P1: 78, P2: 49, P4: 56, P3: 81 Setup times: | From ↓ / To → | P1 | P2 | P4 | P3 | | P1 | 0 | 17 | 37 | 13 | | P2 | 22 | 0 | 39 | 27 | | P4 | 39 | 20 | 0 | 36 | | P3 | 28 | 37 | 10 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 307 minutes. Sequence: P1 - P3 - P4 - P2.
Calculation: P1 → P3 → P4 → P2.
Time: PT(P1) + (ST(P1→P3) + PT(P3)) + ...

Question 7

A machine must process four products (P4, P3, P1, P2) to minimize total time. Processing times: P4: 62, P3: 34, P1: 83, P2: 50 Setup times: | From ↓ / To → | P4 | P3 | P1 | P2 | | P4 | 0 | 12 | 38 | 22 | | P3 | 13 | 0 | 40 | 26 | | P1 | 13 | 23 | 0 | 15 | | P2 | 35 | 34 | 23 | 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 8

A machine must process four products (P2, P1, P4, P3) to minimize total time. Processing times: P2: 82, P1: 42, P4: 77, P3: 63 Setup times: | From ↓ / To → | P2 | P1 | P4 | P3 | | P2 | 0 | 22 | 26 | 11 | | P1 | 21 | 0 | 26 | 29 | | P4 | 15 | 36 | 0 | 17 | | P3 | 12 | 10 | 14 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 300 minutes. Sequence: P4 - P2 - P3 - P1.
Calculation: P4 → P2 → P3 → P1.
Time: PT(P4) + (ST(P4→P2) + PT(P2)) + ...

Question 9

A machine must process four products (P4, P2, P1, P3) to minimize total time. Processing times: P4: 33, P2: 40, P1: 35, P3: 59 Setup times: | From ↓ / To → | P4 | P2 | P1 | P3 | | P4 | 0 | 33 | 18 | 14 | | P2 | 40 | 0 | 34 | 27 | | P1 | 19 | 10 | 0 | 24 | | P3 | 12 | 10 | 27 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 207 minutes. Sequence: P3 - P4 - P1 - P2.
Calculation: P3 → P4 → P1 → P2.
Time: PT(P3) + (ST(P3→P4) + PT(P4)) + ...

Question 10

A machine must process four products (P2, P4, P1, P3) to minimize total time. Processing times: P2: 56, P4: 34, P1: 80, P3: 77 Setup times: | From ↓ / To → | P2 | P4 | P1 | P3 | | P2 | 0 | 13 | 11 | 35 | | P4 | 30 | 0 | 10 | 15 | | P1 | 34 | 31 | 0 | 17 | | P3 | 33 | 25 | 27 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 287 minutes. Sequence: P2 - P4 - P1 - P3.
Calculation: P2 → P4 → P1 → P3.
Time: PT(P2) + (ST(P2→P4) + PT(P4)) + ...

Question 11

A machine must process four products (P4, P1, P2, P3) to minimize total time. Processing times: P4: 57, P1: 52, P2: 76, P3: 59 Setup times: | From ↓ / To → | P4 | P1 | P2 | P3 | | P4 | 0 | 16 | 40 | 34 | | P1 | 34 | 0 | 39 | 17 | | P2 | 15 | 27 | 0 | 18 | | P3 | 11 | 15 | 37 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 289 minutes. Sequence: P2 - P3 - P4 - P1.
Calculation: P2 → P3 → P4 → P1.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 12

A machine must process four products (P4, P3, P1, P2) to minimize total time. Processing times: P4: 89, P3: 84, P1: 89, P2: 87 Setup times: | From ↓ / To → | P4 | P3 | P1 | P2 | | P4 | 0 | 39 | 17 | 36 | | P3 | 33 | 0 | 17 | 20 | | P1 | 20 | 26 | 0 | 16 | | P2 | 12 | 13 | 10 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 394 minutes. Sequence: P3 - P1 - P2 - P4.
Calculation: P3 → P1 → P2 → P4.
Time: PT(P3) + (ST(P3→P1) + PT(P1)) + ...

Question 13

A machine must process four products (P4, P2, P3, P1) to minimize total time. Processing times: P4: 75, P2: 54, P3: 33, P1: 79 Setup times: | From ↓ / To → | P4 | P2 | P3 | P1 | | P4 | 0 | 35 | 19 | 40 | | P2 | 37 | 0 | 12 | 35 | | P3 | 33 | 27 | 0 | 20 | | P1 | 23 | 16 | 15 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 296 minutes. Sequence: P4 - P3 - P1 - P2.
Calculation: P4 → P3 → P1 → P2.
Time: PT(P4) + (ST(P4→P3) + PT(P3)) + ...

Question 14

A machine must process four products (P4, P2, P3, P1) to minimize total time. Processing times: P4: 71, P2: 67, P3: 67, P1: 52 Setup times: | From ↓ / To → | P4 | P2 | P3 | P1 | | P4 | 0 | 19 | 11 | 35 | | P2 | 15 | 0 | 28 | 27 | | P3 | 28 | 31 | 0 | 28 | | P1 | 14 | 31 | 25 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 309 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, P2, P3, P1) to minimize total time. Processing times: P4: 69, P2: 44, P3: 47, P1: 47 Setup times: | From ↓ / To → | P4 | P2 | P3 | P1 | | P4 | 0 | 38 | 16 | 30 | | P2 | 36 | 0 | 17 | 11 | | P3 | 22 | 35 | 0 | 10 | | P1 | 32 | 20 | 23 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 253 minutes. Sequence: P4 - P3 - P1 - P2.
Calculation: P4 → P3 → P1 → P2.
Time: PT(P4) + (ST(P4→P3) + PT(P3)) + ...

Question 16

A machine must process four products (P2, P3, P4, P1) to minimize total time. Processing times: P2: 38, P3: 84, P4: 44, P1: 39 Setup times: | From ↓ / To → | P2 | P3 | P4 | P1 | | P2 | 0 | 28 | 40 | 17 | | P3 | 12 | 0 | 28 | 37 | | P4 | 19 | 19 | 0 | 11 | | P1 | 14 | 31 | 15 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 249 minutes. Sequence: P3 - P2 - P1 - P4.
Calculation: P3 → P2 → P1 → P4.
Time: PT(P3) + (ST(P3→P2) + PT(P2)) + ...

Question 17

A machine must process four products (P4, P2, P1, P3) to minimize total time. Processing times: P4: 48, P2: 30, P1: 30, P3: 56 Setup times: | From ↓ / To → | P4 | P2 | P1 | P3 | | P4 | 0 | 35 | 14 | 22 | | P2 | 40 | 0 | 12 | 37 | | P1 | 22 | 37 | 0 | 17 | | P3 | 20 | 38 | 25 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 213 minutes. Sequence: P2 - P1 - P3 - P4.
Calculation: P2 → P1 → P3 → P4.
Time: PT(P2) + (ST(P2→P1) + PT(P1)) + ...

Question 18

A machine must process four products (P2, P1, P4, P3) to minimize total time. Processing times: P2: 51, P1: 40, P4: 62, P3: 36 Setup times: | From ↓ / To → | P2 | P1 | P4 | P3 | | P2 | 0 | 13 | 17 | 24 | | P1 | 21 | 0 | 29 | 10 | | P4 | 33 | 16 | 0 | 16 | | P3 | 40 | 23 | 23 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 232 minutes. Sequence: P2 - P4 - P1 - P3.
Calculation: P2 → P4 → P1 → P3.
Time: PT(P2) + (ST(P2→P4) + PT(P4)) + ...

Question 19

A machine must process four products (P2, P3, P4, P1) to minimize total time. Processing times: P2: 40, P3: 69, P4: 57, P1: 60 Setup times: | From ↓ / To → | P2 | P3 | P4 | P1 | | P2 | 0 | 32 | 37 | 36 | | P3 | 39 | 0 | 29 | 29 | | P4 | 20 | 11 | 0 | 15 | | P1 | 10 | 23 | 34 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 276 minutes. Sequence: P4 - P3 - P1 - P2.
Calculation: P4 → P3 → P1 → P2.
Time: PT(P4) + (ST(P4→P3) + PT(P3)) + ...

Question 20

A machine must process four products (P2, P3, P4, P1) to minimize total time. Processing times: P2: 86, P3: 49, P4: 45, P1: 69 Setup times: | From ↓ / To → | P2 | P3 | P4 | P1 | | P2 | 0 | 25 | 15 | 34 | | P3 | 37 | 0 | 36 | 20 | | P4 | 25 | 32 | 0 | 39 | | P1 | 30 | 33 | 32 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 314 minutes. Sequence: P3 - P1 - P2 - P4.
Calculation: P3 → P1 → P2 → P4.
Time: PT(P3) + (ST(P3→P1) + PT(P1)) + ...
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