Purple Airlines has ordered 30 small jets from its supplier.The supplier has estimated the first aircraft will require 350 days of direct labor to manufacture and assemble.Based on past experience,the supplier estimates the learning curve to be 75%.Estimate the average number of days of direct labor for all 30 jet aircrafts.
A)231.43 days
B)121.43 days
C)133.54 days
D)156.43 days

Question

Quizplus · Accepted Answer

We can use the learning curve formula to estimate the average number of days of direct labor for all 30 jet aircraft.
Learning Curve formula: Y = aX^b, where Y is the average time per unit, X is the cumulative number of units produced, a is the time to produce the first unit, and b is the learning rate.
In this case, we are given:
a = 350 days (time to produce the first unit)
b = log(0.75)/log(2) = -0.415 (learning rate, calculated from 75% learning curve)
X = 30 (total number of units produced)
Using these values in the formula, we get:
Y = 350*30^(-0.415)
Y = 133.54 days
Therefore, the answer is C) 133.54 days.

Purple Airlines Has Ordered 30 Small Jets from Its Supplier