A company organizes a training program in which it is determined that after t weeks the average trainee produces P(t) = 50(1 − e^−0.15t) units while a typical new worker without special training produces

a. How many units does the average trainee produce during the third week of the training period?

b. Explain how the function F(t) = P(t) − W(t) can be used to evaluate the effectiveness of the training program. Is the program effective if it lasts just 5 weeks? What if it lasts at least 7 weeks? Explain your reasoning.

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W(t) = V150t units