Page 426 - PM Integrated Workbook 2018-19

Chapter 15

Example 3

The first unit of a new product is expected to take 100 hours. An 80% learning
curve is known to apply.

Calculate:

(a) The average time per unit for the first 16 units

a = 100 b = –.03219 x = 16

Y = 100 × 16 –.03219

Y = 40.96 hours
(b) The average time per unit for the first 25 units

x = 25

Y = 100 × 25 –.03219

Y = 35.48 hours

(c) The time it takes to make the 20th unit

x = 20 Y = 100 × 20 –.03219 Y = 38.12399855 hours
Total time for 20 units = 38.12399855 × 20 = 762.48 hours

x = 19 Y = 100 × 19 –.03219 Y = 38.75870124 hours

Total time for 19 units = 38.75870124 × 19. = 736.42 hours

So, to make the 20th unit, 762.48 – 736.42 = 26.06 hours

418