SOLUTION: Worker Efficiency: In a study pf worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting

Question 201851: Worker Efficiency: In a study pf worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting work could be modeled by the formula
N (t) = -3r3 + 23r2 + 8t
A. Rewrite the formula by factoring the right-hand side completly
B. Use the factored version of the formula to find N(3)
c. Use the accompanying graph to estimate the time at which workers are most efficient.
d. Use the accompanying graph to estimate the maximum number of components assembled per hour during an 8-hr shift.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Somehow you've got your independent variables a little muddled. I think that the independent variable is t (for time) and not r, as you have it! So, let's start with...
and this represents the number of components assembled per hour by the average worker t hours after starting work.
A. The factored form is:

B. Find using the factored form. Substitute t = 3.
Evaluate.

Components per hour 3 hours after starting work.
The graph of is:

C. The estimated time, t, at which the workers are most efficient is t = 5, or 5 hours after starting work.
D. From the graph, it can be estimated that the maximum number of components assembled per hour during an eight-hour shift is 242.
----------------------------------------------------------------------

RELATED QUESTIONS
Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found that (answered by Edwin McCravy,Earlsdon)

In a study of worker efficiency at Wong Laboratories it was found that the number of... (answered by stanbon)

Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found that (answered by tutorcecilia)

104. Worker efficiency. In a study of Worker efficiency at Wong laboratories it was... (answered by stanbon,funmath)

Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found... (answered by stanbon)

Can you please help me with this problem? Worker efficiency. In a study of worker... (answered by themathtutor2009)

Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found... (answered by ankor@dixie-net.com)

Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found... (answered by Theo)