Answer:
The final curse load of the local gym instructor is this:
High-‐impact aerobics = 1
Low-‐impact aerobics = 4
Jazzercise = 1
Step exercise = 2
Explanation:
1. Let's apportion the class load using the Hamilton method
Number of classes the local gym instructor can teach = 8
Total number of students that want to take a class = 114 (8 people wanted high-‐impact aerobics, 64 wanted low-‐impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)
Standard divisor = 114/8 = 14.25
Now, we can apportion the students in in Standard quotas, this way:
High-‐impact aerobics = 8/14.25 = 0.5614
Low-‐impact aerobics = 64/14.25 = 4.49
Jazzercise = 11/14.25 = 0.7719
Step exercise = 31/14.25 = 2.1754
Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:
High-‐impact aerobics = 0
Low-‐impact aerobics = 4
Jazzercise = 0
Step exercise = 2
As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise .7719 and High-‐impact aerobics with .5614.
The final course load is this:
High-‐impact aerobics = 1
Low-‐impact aerobics = 4
Jazzercise = 1
Step exercise = 2