Question

L1: It takes 32,355 hours to produce the sixth ship of the LPD class at a shipyard. The learning curve rate is 85%. How long does it take to produce the seventh ship?

Answer 1

To determine how long it takes to produce the seventh ship in the LPD class, we can use the learning curve formula. Using the given information, it takes approximately 8,932 hours.

Step-by-step explanation:

To determine how long it takes to produce the seventh ship, we can use the learning curve formula. The formula is:

Time = Time for the first unit * (Number of units)^log(learning curve rate)

In this case, the time for the first unit is 32,355 hours and the number of units is 7. The learning curve rate is 85%. Plugging in these values, we get:

Time = 32,355 * (7)^log(0.85)

Calculating this, we find that it takes approximately 8,932 hours to produce the seventh ship.

Answer 2

It will take 31,206 hors to complete the seventh ship

Step-by-step explanation:

We solve usiing the wright average model:

`Y = aX^(b)`

where:

a: hours of the first unit

X: the unit we are solving for

b: the slope of the learning curve function

The model assumes every time the outpu is doubled the resources used are 85% of the previous phase.

Having the value for the sixth unit we first solve for the first unit and then solve for the seventh unit:

`32,355 = a6^(log 0.85 / log 2)`

a = 49,248

now we solve for the 7th unit:

`Y_7 = (49,248)7^(log 0.85 / log 2)`

31,206.47453