The management a a plastics factory has found that the maximum number of units a

Question

The management a a plastics factory has found that the maximum number of units a worker can produce in a day is 35. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by 35(1-e, After 20 days on the job, a new employee produces 20 units. (a) Find the learning curve for this employee. (Hint: First, find the value of k. Round your value of k to three decimal places.) (b) How many days does the model predict will pass before this employee is producing 24 units per day? (Round your answer to the nearest whole number.) days

Explanation / Answer

N = 35(1-ekt)

a. When t =20 , N =20

20 = 35(1-e20k)

20/35 = 1-ekt

ek*20= 1 - (20/35)

20k= ln ( 1- (20/35))

k = -0.042

N = 35(1- e-0.042t)

b. 24 = 35(1-e-0.042t)

24/35 = 1-e-0.042t

1- 24/35 = e-0.042t

t = 28 days

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