Final answer:
The subject of this question is Mathematics at a High School level. The equation provided represents the hourly number of units produced in a factory during an 8-hour shift. The output is obtained by substituting values of time into the equation.
Step-by-step explanation:
The subject of this question is Mathematics and it is at a High School level. The question involves the analysis of daily output of a factory during an 8-hour shift. The given equation, y = 102t + 12t^2 - t^3, represents the hourly number of units produced after t hours of production. The output is determined by substituting values of t into the equation and calculating the corresponding value of y.