Answer:
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
