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Dynamic Production Sequencing - Absolute-Beginner Level: core concept mastery Dynamic Production Sequencing ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Dynamic Production Sequencing - a key topic in Scheduling. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master dynamic production sequencing problems, dynamic production sequencing reasoning questions, and dynamic production sequencing practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Dynamic Production Sequencing
Worksheet 1 of 10 (0% complete)

Question 1

A machine must process four products (P3, P2, P4, P1) to minimize total time. Processing times: P3: 40, P2: 30, P4: 43, P1: 79 Setup times: | From ↓ / To → | P3 | P2 | P4 | P1 | | P3 | 0 | 18 | 15 | 13 | | P2 | 21 | 0 | 38 | 38 | | P4 | 25 | 25 | 0 | 33 | | P1 | 34 | 16 | 33 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 244 minutes. Sequence: P1 - P2 - P3 - P4.
Calculation: P1 → P2 → P3 → P4.
Time: PT(P1) + (ST(P1→P2) + PT(P2)) + ...

Question 2

A machine must process four products (P2, P3, P4, P1) to minimize total time. Processing times: P2: 84, P3: 61, P4: 36, P1: 44 Setup times: | From ↓ / To → | P2 | P3 | P4 | P1 | | P2 | 0 | 38 | 37 | 28 | | P3 | 12 | 0 | 32 | 13 | | P4 | 23 | 30 | 0 | 22 | | P1 | 39 | 26 | 26 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 285 minutes. Sequence: P4 - P1 - P3 - P2.
Calculation: P4 → P1 → P3 → P2.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...

Question 3

A machine must process four products (P3, P1, P4, P2) to minimize total time. Processing times: P3: 82, P1: 58, P4: 55, P2: 81 Setup times: | From ↓ / To → | P3 | P1 | P4 | P2 | | P3 | 0 | 17 | 21 | 40 | | P1 | 36 | 0 | 17 | 19 | | P4 | 25 | 31 | 0 | 40 | | P2 | 12 | 34 | 37 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 322 minutes. Sequence: P2 - P3 - P1 - P4.
Calculation: P2 → P3 → P1 → P4.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 4

A machine must process four products (P1, P2, P4, P3) to minimize total time. Processing times: P1: 53, P2: 60, P4: 49, P3: 30 Setup times: | From ↓ / To → | P1 | P2 | P4 | P3 | | P1 | 0 | 36 | 30 | 24 | | P2 | 32 | 0 | 11 | 21 | | P4 | 37 | 18 | 0 | 28 | | P3 | 26 | 39 | 16 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 250 minutes. Sequence: P1 - P3 - P4 - P2.
Calculation: P1 → P3 → P4 → P2.
Time: PT(P1) + (ST(P1→P3) + PT(P3)) + ...

Question 5

A machine must process four products (P4, P3, P1, P2) to minimize total time. Processing times: P4: 60, P3: 38, P1: 87, P2: 69 Setup times: | From ↓ / To → | P4 | P3 | P1 | P2 | | P4 | 0 | 16 | 22 | 24 | | P3 | 22 | 0 | 25 | 17 | | P1 | 29 | 31 | 0 | 36 | | P2 | 38 | 10 | 17 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 304 minutes. Sequence: P4 - P3 - P2 - P1.
Calculation: P4 → P3 → P2 → P1.
Time: PT(P4) + (ST(P4→P3) + PT(P3)) + ...

Question 6

A machine must process four products (P4, P2, P3, P1) to minimize total time. Processing times: P4: 75, P2: 49, P3: 66, P1: 84 Setup times: | From ↓ / To → | P4 | P2 | P3 | P1 | | P4 | 0 | 10 | 10 | 18 | | P2 | 20 | 0 | 11 | 17 | | P3 | 21 | 20 | 0 | 26 | | P1 | 25 | 36 | 39 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 320 minutes. Sequence: P1 - P4 - P2 - P3.
Calculation: P1 → P4 → P2 → P3.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 7

A machine must process four products (P1, P2, P3, P4) to minimize total time. Processing times: P1: 84, P2: 50, P3: 86, P4: 83 Setup times: | From ↓ / To → | P1 | P2 | P3 | P4 | | P1 | 0 | 17 | 25 | 27 | | P2 | 18 | 0 | 19 | 34 | | P3 | 12 | 14 | 0 | 13 | | P4 | 22 | 36 | 38 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 352 minutes. Sequence: P1 - P2 - P3 - P4.
Calculation: P1 → P2 → P3 → P4.
Time: PT(P1) + (ST(P1→P2) + PT(P2)) + ...

Question 8

A machine must process four products (P4, P2, P1, P3) to minimize total time. Processing times: P4: 32, P2: 82, P1: 75, P3: 64 Setup times: | From ↓ / To → | P4 | P2 | P1 | P3 | | P4 | 0 | 11 | 34 | 15 | | P2 | 28 | 0 | 16 | 38 | | P1 | 17 | 37 | 0 | 21 | | P3 | 27 | 11 | 32 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 295 minutes. Sequence: P4 - P3 - P2 - P1.
Calculation: P4 → P3 → P2 → P1.
Time: PT(P4) + (ST(P4→P3) + PT(P3)) + ...

Question 9

A machine must process four products (P3, P1, P2, P4) to minimize total time. Processing times: P3: 85, P1: 61, P2: 54, P4: 87 Setup times: | From ↓ / To → | P3 | P1 | P2 | P4 | | P3 | 0 | 26 | 33 | 16 | | P1 | 22 | 0 | 29 | 10 | | P2 | 25 | 33 | 0 | 25 | | P4 | 16 | 40 | 15 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 337 minutes. Sequence: P1 - P4 - P2 - P3.
Calculation: P1 → P4 → P2 → P3.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 10

A machine must process four products (P1, P4, P2, P3) to minimize total time. Processing times: P1: 62, P4: 35, P2: 54, P3: 62 Setup times: | From ↓ / To → | P1 | P4 | P2 | P3 | | P1 | 0 | 22 | 24 | 35 | | P4 | 27 | 0 | 20 | 38 | | P2 | 24 | 10 | 0 | 30 | | P3 | 31 | 26 | 32 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 278 minutes. Sequence: P3 - P1 - P2 - P4.
Calculation: P3 → P1 → P2 → P4.
Time: PT(P3) + (ST(P3→P1) + PT(P1)) + ...

Question 11

A machine must process four products (P1, P3, P4, P2) to minimize total time. Processing times: P1: 32, P3: 67, P4: 86, P2: 77 Setup times: | From ↓ / To → | P1 | P3 | P4 | P2 | | P1 | 0 | 29 | 27 | 29 | | P3 | 34 | 0 | 18 | 39 | | P4 | 23 | 35 | 0 | 39 | | P2 | 23 | 30 | 40 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 332 minutes. Sequence: P3 - P4 - P1 - P2.
Calculation: P3 → P4 → P1 → P2.
Time: PT(P3) + (ST(P3→P4) + PT(P4)) + ...

Question 12

A machine must process four products (P1, P3, P4, P2) to minimize total time. Processing times: P1: 78, P3: 36, P4: 88, P2: 82 Setup times: | From ↓ / To → | P1 | P3 | P4 | P2 | | P1 | 0 | 29 | 33 | 18 | | P3 | 25 | 0 | 13 | 32 | | P4 | 11 | 14 | 0 | 25 | | P2 | 21 | 20 | 13 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 326 minutes. Sequence: P3 - P4 - P1 - P2.
Calculation: P3 → P4 → P1 → P2.
Time: PT(P3) + (ST(P3→P4) + PT(P4)) + ...

Question 13

A machine must process four products (P1, P4, P2, P3) to minimize total time. Processing times: P1: 63, P4: 76, P2: 75, P3: 86 Setup times: | From ↓ / To → | P1 | P4 | P2 | P3 | | P1 | 0 | 20 | 28 | 15 | | P4 | 20 | 0 | 15 | 22 | | P2 | 26 | 31 | 0 | 26 | | P3 | 16 | 13 | 39 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 343 minutes. Sequence: P1 - P3 - P4 - P2.
Calculation: P1 → P3 → P4 → P2.
Time: PT(P1) + (ST(P1→P3) + PT(P3)) + ...

Question 14

A machine must process four products (P1, P2, P3, P4) to minimize total time. Processing times: P1: 87, P2: 57, P3: 61, P4: 61 Setup times: | From ↓ / To → | P1 | P2 | P3 | P4 | | P1 | 0 | 31 | 23 | 34 | | P2 | 34 | 0 | 21 | 27 | | P3 | 40 | 19 | 0 | 31 | | P4 | 22 | 21 | 24 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 330 minutes. Sequence: P4 - P1 - P3 - P2.
Calculation: P4 → P1 → P3 → P2.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...

Question 15

A machine must process four products (P3, P2, P1, P4) to minimize total time. Processing times: P3: 75, P2: 74, P1: 89, P4: 45 Setup times: | From ↓ / To → | P3 | P2 | P1 | P4 | | P3 | 0 | 14 | 24 | 34 | | P2 | 35 | 0 | 19 | 30 | | P1 | 11 | 27 | 0 | 31 | | P4 | 34 | 26 | 12 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 320 minutes. Sequence: P4 - P1 - P3 - P2.
Calculation: P4 → P1 → P3 → P2.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...

Question 16

A machine must process four products (P3, P4, P2, P1) to minimize total time. Processing times: P3: 88, P4: 79, P2: 87, P1: 68 Setup times: | From ↓ / To → | P3 | P4 | P2 | P1 | | P3 | 0 | 12 | 33 | 10 | | P4 | 38 | 0 | 12 | 11 | | P2 | 39 | 21 | 0 | 37 | | P1 | 26 | 22 | 17 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 362 minutes. Sequence: P3 - P4 - P1 - P2.
Calculation: P3 → P4 → P1 → P2.
Time: PT(P3) + (ST(P3→P4) + PT(P4)) + ...

Question 17

A machine must process four products (P3, P2, P4, P1) to minimize total time. Processing times: P3: 55, P2: 46, P4: 63, P1: 45 Setup times: | From ↓ / To → | P3 | P2 | P4 | P1 | | P3 | 0 | 20 | 28 | 24 | | P2 | 31 | 0 | 37 | 39 | | P4 | 16 | 20 | 0 | 25 | | P1 | 22 | 33 | 37 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 276 minutes. Sequence: P4 - P1 - P3 - P2.
Calculation: P4 → P1 → P3 → P2.
Time: PT(P4) + (ST(P4→P1) + PT(P1)) + ...

Question 18

A machine must process four products (P2, P1, P3, P4) to minimize total time. Processing times: P2: 62, P1: 78, P3: 85, P4: 60 Setup times: | From ↓ / To → | P2 | P1 | P3 | P4 | | P2 | 0 | 15 | 34 | 19 | | P1 | 14 | 0 | 35 | 34 | | P3 | 39 | 37 | 0 | 30 | | P4 | 10 | 20 | 40 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 340 minutes. Sequence: P3 - P4 - P2 - P1.
Calculation: P3 → P4 → P2 → P1.
Time: PT(P3) + (ST(P3→P4) + PT(P4)) + ...

Question 19

A machine must process four products (P1, P3, P2, P4) to minimize total time. Processing times: P1: 36, P3: 60, P2: 67, P4: 32 Setup times: | From ↓ / To → | P1 | P3 | P2 | P4 | | P1 | 0 | 23 | 37 | 22 | | P3 | 13 | 0 | 38 | 27 | | P2 | 31 | 20 | 0 | 38 | | P4 | 30 | 39 | 32 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 250 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 (P1, P2, P3, P4) to minimize total time. Processing times: P1: 41, P2: 44, P3: 42, P4: 43 Setup times: | From ↓ / To → | P1 | P2 | P3 | P4 | | P1 | 0 | 29 | 11 | 23 | | P2 | 12 | 0 | 38 | 30 | | P3 | 17 | 29 | 0 | 35 | | P4 | 30 | 29 | 26 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 222 minutes. Sequence: P4 - P2 - P1 - P3.
Calculation: P4 → P2 → P1 → P3.
Time: PT(P4) + (ST(P4→P2) + PT(P2)) + ...
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