Question 8: NOTE: Enter your answer to the nearest integer.

The profit of Company A with respect to time (in months) is given by the function $f(t)$ (in lakhs) as follows:

$f(t) = \begin{cases} \frac{(t-3)^{n+1}-1}{t-4} & \text{if } 0 \leq t < 4, \\ \lfloor t+1 \rfloor + t & \text{if } t \geq 4 \end{cases}$

for some integer $n > 0$.

The profit of Company B with respect to time (in months) is given by the function $g(t)$ (in lakhs) as follows:

$g(t) = \begin{cases} t^2 & \text{if } 0 \leq t < 2, \\ 2t^m & \text{if } t \geq 2 \end{cases}$

for some integer $m > 0$.

Use the information given above to answer the given subquestions.

NOTE: Enter your answer to the nearest integer.