Suppose the population of a state is 12 and the standard divisor is 0.225 .

1. Find the state's standard quota.

2. Decrease the standard divisor by 0.200 units and use the modified divisor to determine the modified quota for the state.

3. Increase the modified divisor from part 2 by 0.100 units and use the new modified divisor to determine the modified quota for the state.

4. Choose any value of divisor between the value of the modified divisor from part 2 and the value of the modified divisor from part 3 and use it to determine the modified quota for the state.

5. Which modified quota was the smallest, the modified quota from part 2, from part 3, or from part 4? Explain why.