Question

Learning Curve

Answer 1

Answer:

\k = -0.05017.:36 days

Step-by-step explanation:

Given that The management of a factory finds that the maximum number of units a worker can produc in a day is 30. The learning curve for the number of units N produced per day after a new employee has worked for t days is modeled by

$N= 30(1-e^{kt})$

t = no of days

When t =20, we have N =19

Substitute to get

$e^{k20} =1-19/30 = 11/30\\k = -0.05017$

$N= 30(1-e^{-0.05017t})$

For producing 25 units per day, substitute N =25 and solve for t

$25= 30(1-e^{-0.5017*t})$

t=35.71

i.e approximately 36 days should pass