A company negotiates a price for two aircraft that includes a reduction in labor on the second aircraft consistent with a 70% learning curve.Suppose the first aircraft took 100 hours.If the improvement rate changes to 20%,how will the total time to complete both aircraft change?
A)no change
B)-10 hours
C)+ 10 hours
D)-50 hours
E)+ 50 hours

Question

Quizplus · Accepted Answer

Using the 70% learning curve, we can find the total time to complete the second aircraft as follows:

Second Aircraft = 100 hours * (0.7)^log2(2) = 70 hours

So the total time to complete both aircraft is:

Total Time = 100 hours + 70 hours = 170 hours

Now let's use the 20% improvement rate to find the new time for the second aircraft:

New Second Aircraft = 70 hours * (0.8)^log2(2) = 51.2 hours

The new total time to complete both aircraft is:

New Total Time = 100 hours + 51.2 hours = 151.2 hours

The change in total time is:

Change = New Total Time - Total Time = 151.2 hours - 170 hours = +10.8 hours

Rounding to the nearest hour gives us a change of +10 hours, so the answer is C, "+10 hours".

A Company Negotiates a Price for Two Aircraft That Includes