The English department has the faculty to offer 8 sections in any combination of the three courses: Fiction, Poetry, and Multicultura Literature. The number of sections apportioned to each course is based on the enrollments in the courses. The enrollment figures a in the table. Courses Enrollment Fiction 48 Use the Hamilton method to apportion the sections. There should be section(s) of Fiction, Poetry 38 ... Multicultural 97 section(s) of Poetry, and section(s) of Multicultural Literature.
The English department has the faculty to offer 8 sections in any combination of the three courses: Fiction, Poetry, and Multicultura Literature. The number of sections apportioned to each course is based on the enrollments in the courses. The enrollment figures a in the table. Courses Enrollment Fiction 48 Use the Hamilton method to apportion the sections. There should be section(s) of Fiction, Poetry 38 ... Multicultural 97 section(s) of Poetry, and section(s) of Multicultural Literature.
MATLAB: An Introduction with Applications
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![**Course Enrollment Apportionment Using the Hamilton Method**
The English Department has the capability to offer 8 sections in any combination of the three courses: Fiction, Poetry, and Multicultural Literature. The number of sections apportioned to each course is based on the enrollments in the courses. The enrollment figures are provided in the table below:
| Courses | Enrollment |
|--------------|------------|
| Fiction | 48 |
| Poetry | 38 |
| Multicultural| 97 |
The Hamilton method is used to apportion the sections.
| Course | Sections |
|--------------|------------|
| Fiction | [ ] |
| Poetry | [ ] |
| Multicultural| [ ] |
Please calculate the allocation of sections using the Hamilton method and fill in the blanks.
**Explanation of the Hamilton Method:**
The Hamilton method of apportionment distributes seats (or sections, in this case) based on the standard divisor and standard quota, ensuring fair representation proportional to enrollment.
1. **Calculate the Standard Divisor**: \( \text{Total Enrollment} / \text{Number of Sections} \)
2. **Calculate the Standard Quota** for each course: \( \text{Enrollment of Course} / \text{Standard Divisor} \)
3. **Assign Each Course Its Lower Quota** (the integer part of its standard quota).
4. **Distribute Remaining Sections**: Give each of the remaining sections to the courses with the largest fractional parts of their standard quotas until all sections are distributed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f07f1fc-c1c5-43de-ad13-01ae8930f316%2F46616d78-d135-4ab9-8788-0ce6bbe06990%2F7yfaxxp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Course Enrollment Apportionment Using the Hamilton Method**
The English Department has the capability to offer 8 sections in any combination of the three courses: Fiction, Poetry, and Multicultural Literature. The number of sections apportioned to each course is based on the enrollments in the courses. The enrollment figures are provided in the table below:
| Courses | Enrollment |
|--------------|------------|
| Fiction | 48 |
| Poetry | 38 |
| Multicultural| 97 |
The Hamilton method is used to apportion the sections.
| Course | Sections |
|--------------|------------|
| Fiction | [ ] |
| Poetry | [ ] |
| Multicultural| [ ] |
Please calculate the allocation of sections using the Hamilton method and fill in the blanks.
**Explanation of the Hamilton Method:**
The Hamilton method of apportionment distributes seats (or sections, in this case) based on the standard divisor and standard quota, ensuring fair representation proportional to enrollment.
1. **Calculate the Standard Divisor**: \( \text{Total Enrollment} / \text{Number of Sections} \)
2. **Calculate the Standard Quota** for each course: \( \text{Enrollment of Course} / \text{Standard Divisor} \)
3. **Assign Each Course Its Lower Quota** (the integer part of its standard quota).
4. **Distribute Remaining Sections**: Give each of the remaining sections to the courses with the largest fractional parts of their standard quotas until all sections are distributed.
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