A construction firm wants to estimate the direct labor of a worker who will perform multiple iterations of tasks.The worker must do a total of 20 of these activities to reach steady state.The time estimated to perform the 20th iteration is 2 hours,and the learning rate for this repetitive activity is 70%.The cost of labor is $40/hr.Estimate the time necessary to complete the first activity.
A)9.34 hours
B)8.43 hours
C)5.34 hours
D)10.31 hours

Question

Quizplus · Accepted Answer

The time necessary to complete the first activity can be estimated using the learning curve theory. Given a 70% learning rate and the time to complete the 20th iteration (2 hours), we can use the formula for the learning curve: $T_n = T_1 \times n^b$, where $T_n$ is the time to complete the nth unit, $T_1$ is the time to complete the first unit, $n$ is the unit number, and $b$ is the learning rate exponent calculated as $b = \log(learning rate) / \log(2)$. Rearranging the formula to solve for $T_1$ and substituting the given values, we find that the time to complete the first activity is approximately 9.34 hours.

A Construction Firm Wants to Estimate the Direct Labor of a Worker