modern mathematics A newly formed Midwestern state is made u

A newly formed Mid-western state is made up of four counties (A, B. C and D). The state legislature has a total of 200 seats, which need to be apportioned out to each of the counties based on their respective populations. The table below gives the current population of each of the counties. Use Hamilton\'s Method to apportion the 200 seats. Show your work by first finding the standard divisor, the standard quotas, and then the final apportionment.

Solution

total population = 7258+12463+9627+10652=40000

total seats = 200

standard divisor = total population/total seats = 200

quota for A = 7258/200=36.29

quota for B = 12463/200=62.31

quota for C = 9627/200=48.13

quota for D = 10652/200=53.26

lower quota for A = 36

lower quota for B = 62

lower quota for C = 48

lower quota for D = 53

number of seat remaining = 1

add it to B since it has largest fractional part

so final appointment is

A = 36

B= 63

C=48

D = 53