Question

A time study showed that, on average, the productivity of a worker after hours on the job can be modeled by P(t) = 33t + 6t^2 - t^3, 0 < t < 8 where P is the number of units produced per hour: (a) Find the critical values of this function. (Assume 0 < t < 8) Enter your answers as a comma-separated list. (b) Which critical value makes sense in this model? (c) For what values of t, for 0 < t < 8, is P increasing? (Enter your answer using interval notation.)

Name: a time study showed that on average the productivity of a worker after hours on the job can be modeled by pt 33t 6t2 t3 0 t 8 where p is the number of units produced per hour a find the cr 54453
Uploaded: 2022-03-21T05:08:28-08:00
Duration: 5 min 40 s
Channel: Preet J
Description: a time study showed that on average the productivity of a worker after hours on the job can be modeled by pt 33t 6t2 t3 0 t 8 where p is the number of units produced per hour a find the cr 54453

          A time study showed that, on average, the productivity of a worker after hours on the job can be modeled by P(t) = 33t + 6t^2 - t^3, 0 < t < 8
where P is the number of units produced per hour:
(a) Find the critical values of this function. (Assume 0 < t < 8)
Enter your answers as a comma-separated list.
(b) Which critical value makes sense in this model?
(c) For what values of t, for 0 < t < 8, is P increasing? (Enter your answer using interval notation.)

Added by Donna C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Preet J

03/21/2022

Step 1

P'(t) = 33 + 12t - 3t^2 Setting P'(t) = 0, we get: 0 = 33 + 12t - 3t^2 0 = 3t^2 - 12t - 33 0 = t^2 - 4t - 11 0 = (t - 1)(t + 11) So, the critical values are t = 1 and t = -11. However, since t must be greater than 0, the only critical value that makes sense Show more…

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A time study showed that, on average, the productivity of a worker after hours on the job can be modeled by P(t) = 33t + 6t^2 - t^3, 0 < t < 8 where P is the number of units produced per hour: (a) Find the critical values of this function. (Assume 0 < t < 8) Enter your answers as a comma-separated list. (b) Which critical value makes sense in this model? (c) For what values of t, for 0 < t < 8, is P increasing? (Enter your answer using interval notation.)