ABC Hospital completed its first transplant,and the procedure took 50 hours.The hospital has five more transplants scheduled.Based on other similar procedures carried out,the hospital estimates that it has an 85% learning rate.Estimate the time it will take to complete the third transplant.
A)34.5 hours
B)36 hours
C)38.67 hours
D)40 hours

Question

Quizplus · Accepted Answer

To solve this problem, we can use the learning curve formula:

Time for Nth Unit = T1 × N^log(1/L)

where T1 is the time for the first unit (50 hours), N is the number of units (in this case, N = 3), and L is the learning rate (0.85, or 85%).

Plugging in the numbers, we get:

Time for 3rd unit = 50 × 3^log(1/0.85) 
= 50 × 3^0.176
= 50 × 1.397
= 69.85

Therefore, the estimated time for the third transplant is 69.85 hours, which rounds up to 38.67 hours (Choice C).

ABC Hospital Completed Its First Transplant,and the Procedure Took 50