Answer:
3,825.2 labor hours
Explanation:
Learning rate (Unit 1 and unit 2):
= Labor hour required for 2nd unit ÷ Labor hour required for 1st unit
= 1,200 ÷ 2,000
= 0.60
Learning rate (Unit 2 and unit 3):
= Labor hour required for 3rd unit ÷ Labor hour required for 2nd unit
= 1,130 ÷ 1,200
= 0.94
Average of learning rates = (0.60 + 0.94 ) ÷ 2
= 0.77
As per learning curve calculator the value of 77% for 6 units = 4.0776
Cumulative time = Factor × Time of first unit
= 4.0776 × 2,000
= 8,155.2
Hence,
Time for next three units:
= Cumulative time - Sum of the time of first, second and third unit
= 8,155.2 - (2,000 + 1,200 + 1,130)
= 3,825.2 labor hours should Simpson plan for.