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MAT 142 Problem Solving NAME: PSU8B: Apportionment The number of ER triage nurses assigned to work during a shift is apportioned based on the average number of patients during that shift. There are 20 nurses available to schedule. Shift Morning Midday Afternoon Evening Total Average number of patients 85 165 275 315 1. Determine the standard divisor and initial quotas (rounded to 3 decimal places): Standard Divisor: Shift Morning Midday Afternoon Evening Average number of patients 85 165 275 315 Standard (Initial) Quotas 2. Apportion 20 nurses among the shifts, assuming each shift is uniform in length, and using the following methods: (Show your thinking) a. Hamilton's method Shift Morning Midday Afternoon Evening Total Average number of patients 35 165 275 315 Initial quota Final quota b. Jefferson's method Shift Morning Midday Afternoon Evening Total Average number of patients 85 165 275 315 Initial quota Final quota Modified Divisor used for final quota:_ c. Adams' method Shift Morning Midday Afternoon Evening Total Average number of patients 85 165 275 315 Initial quota Final quota Modified Divisor used for final quota: d. Webster's method Shift Morning Midday Afternoon Evening Total Average number of patients 85 165 275 315 Initial quota Final quota Modified Divisor used for final quota: 3. Reflect back on the results: which apportionment of nurses do you think best fits the demand and is most fair, and explain why