An aircraft company has an order to refurbish the interiors of 18 jet aircraft. The work has a learning curve percentage of 80. On the basis of experience with similar jobs, the industrial engineering department estimates that the first plane will require 300 hours to refurbish. Estimate the amount of time needed to complete: a. The fifth plane
b. The first five planes
c. All 18 planes

a. 125.43 hours

b. 767.92 hours

c. 2,129.04 hours

Explanation:

Using the mathematical approach, we have :

y = ax ^b

Where ,

y is the average time to manufacture x units

a is the time its takes to manufacture first plane

b is the log of 80% divided by log 2

Then,

Average time for 5 planes = 300 (5)^-0.322

                                            = 178.67 hours

Total time for 5 planes = 178.67 hours × 5

                                      = 893.35

Average time for 4 planes = 300 (4)^-0.322

                                            = 191.98 hours

Total time for 5 planes = 191.98 hours × 4

                                      = 767.92 hours

The fifth plane would take =  893.35 - 767.92

                                            =  125.43 hours

Average time for the 18 planes = 300(18)^-0.322

                                                    = 118,28 hours

Total time for 18 planes = 118,28 hours × 18

                                       = 2,129.04 hours

i do believe its modular luck

explanation: