Answer :
Using the Huntington-Hill method of rounding, a standard quota of 45.4989 would be rounded up to 46, because it is greater than the geometric mean of the quotas for 45 and 46.
The correct option is b
The student's question pertains to the Huntington-Hill method of rounding a standard quota. When using the Huntington-Hill method, we first identify the geometric mean of the quotas for n and n+1, where n is the lower whole number nearest to the quota.
In this case, we take the standard quota of 45.4989 and find the geometric mean between 45 and 46, which is the square root of 45 * 46 ≈ √2070 ≈ 45.486. If the quota is above the geometric mean, it rounds up; if it is below, it rounds down.
Since 45.4989 is slightly greater than 45.486, we round up to 46.
The correct option is b