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Mathematics Clinic => Grade 11 and 12 Mathematics => Topic started by: bobbysung on Feb 2, 2020

Title: In the year 2001, the economics department of a university had 25 teaching assistants (TAs) to be ...
Post by: bobbysung on Feb 2, 2020

In the year 2001, the economics department of a university had 25 teaching assistants (TAs) to be divided among three courses, according to their respective enrollments. Table 1 shows the courses and the standard quotas as calculated for 25 TAs and 26 TAs

Table 2 shows the same data for year 2002, when the enrollment levels were different.

 



The Alabama paradox is said to exist when an increase in the total number of items to be apportioned results in the loss of an item for a group. Using the Hamilton method to determine final quotas, decide which of the statements below is true.

◦ The Alabama paradox would have  occurred in neither 2001 nor 2002.
◦ The Alabama paradox would have occurred only in 2001.
◦ The Alabama paradox would have occurred in both 2001 and 2002.
◦ The Alabama paradox would have  occurred only in 2002.

Title: In the year 2001, the economics department of a university had 25 teaching assistants (TAs) to be ...
Post by: jgranad15 on Feb 2, 2020

The Alabama paradox would have occurred only in 2001.