Answer:
The maximum variance is 250.
Step-by-step explanation:
Consider the provided function.


Differentiate the above function as shown:

The double derivative of the provided function is:

To find maximum variance set first derivative equal to 0.


The double derivative of the function at
is less than 0.
Therefore,
is a point of maximum.
Thus the maximum variance is:


Hence, the maximum variance is 250.