Question

Home Building Inc. (HBI) seeks to schedule manual labor for 18 new homes being constructed. Historical data leads HBI to apply a 92% learning curve rate to the manual labor portions of the project. If the first home requires 3500 manual labor hours to build, estimate the time required to build (a) the fifth house, (b) the tenth house, (c) all 18 houses. What would the manual labor estimate be for all 18 of the HBI houses in the problem above if the learning curve rate is

Answer 1

Answer:

Follows are the solution to the given points:

Explanation:

For point a:

Using the cumulative mean method of Wright here:

Learning Rate $= 92\%$

Thus the $b = \frac{\log(0.92)}{\log(2)} = -0.12$

So the first home has 3,500 manual operating times, that'll be the equation.

$Y=3500 X^{(-0.12)}$

At which Y = average cumulative time per unit and X was its amount of production models

Cumulative total X unit moment$= X \timesY = 3500\times X^{(1-0.12)} = 3500\times X^{0.88}$

The 5th house must be X=4 and X=5, and therefore necessary time is:

$= 3500 \times (5)^{0.88} - 3500\times (4)^{0.88} = 2572.1 \text{manual hours}$

For point b:

For house 10, differentiate between X=9 and X=10, so time = 2351 hours of labor.

For point c:

X=18, consequently time = 44,535.6 hours in all 18 houses

For point d:

Please find the attached file.