components has established that, on average, a new employee can assemble $N(t)$ components per day after $t$ days of on$-$thejob training, as given by $N(t)=\frac{100t}{t+9}$ with $t0.$

a$.$ How many components per day can a new employee assemble after $6$ days of on$-$thejob training?

b$.$ How many days of on$-$the$-$day training will a new employee need to reach the level of $70$ components per day?

c$.$ Find $\underset{t}{lim}N(t)$ and discuss the implications of this limit$.$