A subdivision is planned for forty houses, each with its own in-ground swimming pool. A contractor estimates it will take him 30 hours to build the first pool and that there is a 90% learning curve associated with this process. How long will it take to build the last pool?
A)27.2 hours
B)23.9 hours
C)20.5 hours
D)17.1 hours

Question

Quizplus · Accepted Answer

The time to build the last pool is calculated using the formula for a learning curve: $T_n = T_1 \times n^{(log(b) / log(2))}$, where $T_n$ is the time to produce the nth unit, $T_1$ is the time to produce the first unit, $n$ is the unit number, and $b$ is the learning curve percentage (in decimal form). For the 40th pool, with a 90% learning curve, the calculation is $30 \times 40^{(log(0.9) / log(2))}$, which results in approximately 17.1 hours.

A Subdivision Is Planned for Forty Houses, Each with Its