Question 57760
104. Worker efficiency.  In a study of 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)= - 3t^3 + 23t^2 + 8t
:
a.	Rewrite the formula by factoring the right hand side completely.
b.	Use the factored version of the formula to find N(3).
:
a.) {{{N(t)=-t(3t^2-23t-8)}}}
{{{N(t)=-t(3t^2-24t+t-8)}}}
{{{N(t)=-t((3t^2-24t)+(t-8))}}}
{{{N(t)=-t(3t(t-8)+1(t-8))}}}
{{{N(t)=-t(3t+1)(t-8)}}}
:
b.)  {{{N(3)=-(3)(3(3)+1)((3)-8)}}}
{{{N(3)=-3(9+1)(3-8)}}}
{{{N(3)=-3(10)(-5)}}}
{{{N(3)=150}}} 
Happy Calculating!!!