The number of units produced by the worker during t hours of work can be modelled by the following function:
[tex]N(t)=100t e^{(-0.5t)} [/tex]
To find the number of units produced during first 3 hours, we can substitute 3 for t. This will give us the number of units produced by the worker during first 3 hours.
[tex]N(3)=100(3) e^{-0.5(3)} = 67[/tex]
Thus the worker will produce 67 units during the first 3 hours of the work.
