We are scheduling seven course sections for a total of 217 students. Enrollments are 109 in calculus I, 79 in calculus II, 29 in advanced calculus. Find the apportionment for advanced calculus using the Hamilton method.
A) 0
B) 1
C) 2
D) 3

Question

Quizplus · Accepted Answer

Using the Hamilton method:

- First, we calculate the total voting weight: 109+79+29 = 217
- Next, we calculate the quota: 29/217 ≈ 0.1335
- We then allocate the base seats: 
  - Calculus I: 109/217 * 7 ≈ 3.5046 → 3 seats
  - Calculus II: 79/217 * 7 ≈ 2.5576 → 3 seats
  - Advanced Calculus: 29/217 * 7 ≈ 0.9378 → 1 seat
- We compare the fractional remainders: 
  - Calculus I: 109/217 - 3/7 = 0.0046
  - Calculus II: 79/217 - 3/7 = 0.0024
  - Advanced Calculus: 29/217 - 1/7 = 0.0032
- Allocate the remaining seat(s) to the section with the highest fractional remainder:
  - Advanced Calculus has the highest fractional remainder, so it gets the remaining seat, giving it a total of 2 seats.

Therefore, the apportionment for advanced calculus using the Hamilton method is 2.

We Are Scheduling Seven Course Sections for a Total of 217