Statistics Solutions

(All Steps) When a factory first opens its efficiency improves over time as workers gain experience and fine-tune the manufacturing process. The number

Question: When a factory first opens its efficiency improves over time as workers gain experience and fine-tune the manufacturing process. The number of items produced on day \(n\) is described using a formula known as a learning curve. A learning curve has the form:

\[N=N_{0}\left(1-e^{-k n}\right)\]

For a particular factory, \(N_{0}=500\) and \(k=0.2\)

  1. By hand or using computer software, construct a column graph for the first 10 days of production. (3 marks)
  2. If treat time as a continuous variable, \(t\) (rather than a whole number, \(n\) ) we can draw a graph of the production by plotting the function:
    \[N=500\left(1-e^{-0.2 t}\right)\]
    Draw a graph of this function over an appropriate domain. labelling all important features.
    Price: $2.99
    Solution: The downloadable solution consists of 2 pages
    Deliverable: Word Document


    ∴ Other downloads you may be interested in ∴

log in to your account

Forgot password?
Don't have a membership account?
REGISTER

reset password

Back to
log in

sign up

Back to
log in