ReasoningAbility.com

Master Learning Curve Scheduling - Intermediate-Advanced Level Problems Learning Curve Scheduling INTERMEDIATE ADVANCED

Excel in competitive exams with this self assessment worksheet on Learning Curve Scheduling. Worksheet 7 of 10 contains 20 intermediate-advanced-level problems. Target your accuracy improvement skills while practicing learning curve scheduling shortcut methods, learning curve scheduling bank exam questions, and learning curve scheduling ssc cgl.

📝 Worksheet 7 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Learning Curve Scheduling
Worksheet 7 of 10 (66% complete)

Question 1

A factory produces Widgets with a 90% learning curve (each doubling of cumulative production reduces time by 9%). First unit takes 76 minutes. Batch sizes (in order): 30, 40, 20 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.152
where exponent = log(0.9)/log(2) = -0.152

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.84799690655495 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (30 units): 53.4 minutes
Batch 2 (40 units): 42.1 minutes
Batch 3 (20 units): 39.1 minutes

4. Total time: 134.6 ≈ 135 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 2

A factory produces Widgets with a 90% learning curve (each doubling of cumulative production reduces time by 9%). First unit takes 89 minutes. Batch sizes (in order): 10, 20, 30 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.152
where exponent = log(0.9)/log(2) = -0.152

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.84799690655495 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (10 units): 74.0 minutes
Batch 2 (20 units): 56.9 minutes
Batch 3 (30 units): 50.1 minutes

4. Total time: 180.9 ≈ 181 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 3

A factory produces Widgets with a 85% learning curve (each doubling of cumulative production reduces time by 15%). First unit takes 103 minutes. Batch sizes (in order): 10, 20, 30 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.234
where exponent = log(0.85)/log(2) = -0.234

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.765534746362977 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (10 units): 78.4 minutes
Batch 2 (20 units): 51.7 minutes
Batch 3 (30 units): 42.4 minutes

4. Total time: 172.5 ≈ 173 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 4

A factory produces Widgets with a 90% learning curve (each doubling of cumulative production reduces time by 9%). First unit takes 81 minutes. Batch sizes (in order): 10, 20, 30 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.152
where exponent = log(0.9)/log(2) = -0.152

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.84799690655495 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (10 units): 67.3 minutes
Batch 2 (20 units): 51.8 minutes
Batch 3 (30 units): 45.6 minutes

4. Total time: 164.7 ≈ 165 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 5

A factory produces Widgets with a 85% learning curve (each doubling of cumulative production reduces time by 15%). First unit takes 78 minutes. Batch sizes (in order): 10, 20, 40 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.234
where exponent = log(0.85)/log(2) = -0.234

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.765534746362977 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (10 units): 59.4 minutes
Batch 2 (20 units): 39.2 minutes
Batch 3 (40 units): 31.4 minutes

4. Total time: 130.0 ≈ 130 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 6

A factory produces Widgets with a 90% learning curve (each doubling of cumulative production reduces time by 9%). First unit takes 94 minutes. Batch sizes (in order): 20, 10, 30 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.152
where exponent = log(0.9)/log(2) = -0.152

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.84799690655495 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (20 units): 70.3 minutes
Batch 2 (10 units): 57.7 minutes
Batch 3 (30 units): 52.9 minutes

4. Total time: 180.9 ≈ 181 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 7

A factory produces Widgets with a 90% learning curve (each doubling of cumulative production reduces time by 9%). First unit takes 61 minutes. Batch sizes (in order): 30, 40, 20 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.152
where exponent = log(0.9)/log(2) = -0.152

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.84799690655495 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (30 units): 42.9 minutes
Batch 2 (40 units): 33.8 minutes
Batch 3 (20 units): 31.4 minutes

4. Total time: 108.1 ≈ 108 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 8

A factory produces Widgets with a 85% learning curve (each doubling of cumulative production reduces time by 15%). First unit takes 84 minutes. Batch sizes (in order): 40, 20, 30 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.234
where exponent = log(0.85)/log(2) = -0.234

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.765534746362977 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (40 units): 46.2 minutes
Batch 2 (20 units): 33.6 minutes
Batch 3 (30 units): 30.6 minutes

4. Total time: 110.4 ≈ 110 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 9

A factory produces Widgets with a 85% learning curve (each doubling of cumulative production reduces time by 15%). First unit takes 74 minutes. Batch sizes (in order): 20, 10, 30 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.234
where exponent = log(0.85)/log(2) = -0.234

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.765534746362977 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (20 units): 47.9 minutes
Batch 2 (10 units): 34.9 minutes
Batch 3 (30 units): 30.5 minutes

4. Total time: 113.2 ≈ 113 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 10

A factory produces Widgets with a 90% learning curve (each doubling of cumulative production reduces time by 9%). First unit takes 112 minutes. Batch sizes (in order): 10, 30, 20 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.152
where exponent = log(0.9)/log(2) = -0.152

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.84799690655495 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (10 units): 93.1 minutes
Batch 2 (30 units): 69.5 minutes
Batch 3 (20 units): 61.9 minutes

4. Total time: 224.4 ≈ 224 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 11

A factory produces Widgets with a 85% learning curve (each doubling of cumulative production reduces time by 15%). First unit takes 101 minutes. Batch sizes (in order): 30, 10, 20 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.234
where exponent = log(0.85)/log(2) = -0.234

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.765534746362977 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (30 units): 59.4 minutes
Batch 2 (10 units): 43.9 minutes
Batch 3 (20 units): 40.4 minutes

4. Total time: 143.8 ≈ 144 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 12

A factory produces Widgets with a 90% learning curve (each doubling of cumulative production reduces time by 9%). First unit takes 107 minutes. Batch sizes (in order): 20, 40, 30 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.152
where exponent = log(0.9)/log(2) = -0.152

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.84799690655495 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (20 units): 80.0 minutes
Batch 2 (40 units): 61.6 minutes
Batch 3 (30 units): 55.6 minutes

4. Total time: 197.2 ≈ 197 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 13

A factory produces Widgets with a 85% learning curve (each doubling of cumulative production reduces time by 15%). First unit takes 109 minutes. Batch sizes (in order): 10, 20, 30 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.234
where exponent = log(0.85)/log(2) = -0.234

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.765534746362977 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (10 units): 83.0 minutes
Batch 2 (20 units): 54.7 minutes
Batch 3 (30 units): 44.9 minutes

4. Total time: 182.6 ≈ 183 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 14

A factory produces Widgets with a 80% learning curve (each doubling of cumulative production reduces time by 19%). First unit takes 104 minutes. Batch sizes (in order): 10, 20, 30 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.322
where exponent = log(0.8)/log(2) = -0.322

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.6780719051126377 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (10 units): 73.1 minutes
Batch 2 (20 units): 40.4 minutes
Batch 3 (30 units): 30.8 minutes

4. Total time: 144.3 ≈ 144 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 15

A factory produces Widgets with a 85% learning curve (each doubling of cumulative production reduces time by 15%). First unit takes 106 minutes. Batch sizes (in order): 20, 40, 10 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.234
where exponent = log(0.85)/log(2) = -0.234

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.765534746362977 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (20 units): 68.6 minutes
Batch 2 (40 units): 45.2 minutes
Batch 3 (10 units): 39.8 minutes

4. Total time: 153.7 ≈ 154 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 16

A factory produces Widgets with a 85% learning curve (each doubling of cumulative production reduces time by 15%). First unit takes 118 minutes. Batch sizes (in order): 30, 40, 10 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.234
where exponent = log(0.85)/log(2) = -0.234

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.765534746362977 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (30 units): 69.4 minutes
Batch 2 (40 units): 47.5 minutes
Batch 3 (10 units): 42.9 minutes

4. Total time: 159.9 ≈ 160 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 17

A factory produces Widgets with a 90% learning curve (each doubling of cumulative production reduces time by 9%). First unit takes 88 minutes. Batch sizes (in order): 30, 40, 10 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.152
where exponent = log(0.9)/log(2) = -0.152

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.84799690655495 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (30 units): 61.9 minutes
Batch 2 (40 units): 48.8 minutes
Batch 3 (10 units): 45.7 minutes

4. Total time: 156.3 ≈ 156 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 18

A factory produces Widgets with a 80% learning curve (each doubling of cumulative production reduces time by 19%). First unit takes 83 minutes. Batch sizes (in order): 40, 10, 20 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.322
where exponent = log(0.8)/log(2) = -0.322

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.6780719051126377 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (40 units): 37.3 minutes
Batch 2 (10 units): 24.4 minutes
Batch 3 (20 units): 22.3 minutes

4. Total time: 84.0 ≈ 84 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 19

A factory produces Widgets with a 90% learning curve (each doubling of cumulative production reduces time by 9%). First unit takes 118 minutes. Batch sizes (in order): 20, 10, 40 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.152
where exponent = log(0.9)/log(2) = -0.152

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.84799690655495 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (20 units): 88.3 minutes
Batch 2 (10 units): 72.4 minutes
Batch 3 (40 units): 65.4 minutes

4. Total time: 226.1 ≈ 226 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.

Question 20

A factory produces Widgets with a 80% learning curve (each doubling of cumulative production reduces time by 19%). First unit takes 67 minutes. Batch sizes (in order): 20, 10, 30 units. What is the TOTAL production time for all batches (in minutes, rounded to nearest minute)?
Step-by-step solution (Learning Curve):

1. Learning curve formula: T_n = T_1 × n^-0.322
where exponent = log(0.8)/log(2) = -0.322

2. Calculate cumulative time using integration:
Cumulative time for N units = T_1 × N^0.6780719051126377 / (learning_exponent + 1)

3. Time per batch:
Batch 1 (20 units): 37.7 minutes
Batch 2 (10 units): 23.8 minutes
Batch 3 (30 units): 19.8 minutes

4. Total time: 81.3 ≈ 81 minutes

Key Strategy: Learning curve reduces time with repetition; use cumulative average method for batch calculations.
Previous Worksheet Next Worksheet