Question 190133
In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worket 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.
N(t)= -3t^3 + 23t^2 + 8t
N(t)= (-t)(3t^2 - 23t - 8)
N(t)= (-t)(3t+1)(t-8)

b. Use the factored version of the formula to find N(3).
N(t)= (-t)(3t+1)(t-8)
N(3)= (-3)(3(3)+1)(3-8)
N(3)= (-3)(9+1)(-5)
N(3)= (-3)(10)(-5)
N(3)= (15)(10)
N(3)= 150