The number of items, N, produced each day by an assembly-line worker, t days after an initial

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The number of items, N, produced each day by an assembly-line worker, t days after an initial training period, is modelled by
N = 100 − 100e−0.4t
(1) Calculate the number of items produced daily
(a) 1 day after the training period;
(b) 2 days after the training period;
(c) 10 days after the training period.

(2) What is the worker’s daily production in the long run?
(3) Sketch a graph of N against t and explain why the general shape might have been expected.

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