Concept explainers
In Exercises 25-32, we use the Hamilton method to do the apportionment.
The new states paradox.Redo Exercise 29, but now use the populations given below. Also assume that the original commission has 56 members. Assume that A, B, and C are the original states and D is the new state.
State | Population (thousands) |
A | 8,700 |
B | 4,300 |
C | 3,200 |
D | 6,500 |
29.The new states paradox.Two states A and B have formed a 100-member commission to explore ways in which they can work jointly to improve the business climate in their states. The members will be apportioned to the commission according to the populations of the two states. After seeing the success of the commission, a third state asks to join and appoint members to the commission. States A and B agree and will allow state C to add as many members to the commission as they would deserve now using the current standard divisor. The populations of the three states are given below. Does this example illustrates the new states paradox? Explain.
State | Population (thousands) |
A | 2,000 |
B | 7,770 |
C | 600 |
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Mathematics All Around (6th Edition)
- Which one of the apportionment methods studied does not violate the quota rule? Group of answer choices Hamilton's Method Jefferson's Method Adam's Method Webster's Methodarrow_forwardConsider the apportionment problem for College Town. North: 5,100 South: 9,300 East: 6,800 West: 8,800 Suppose each council member is to represent approximately 3,000 citizens. Use Jefferson's assuming there must be 10 representatives. N __________S__________ E__________ W __________ __________ __________ _________arrow_forwardConsider the apportionment problem. North: 14,300 South: 12,500 East: 18,400 West: 11,200 Use Webster's plan assuming there must be 16 representatives. N ____________S_________ E__________ W_______ __________ __________ __________ _________arrow_forward
- Which of the following is a flaw in apportionment methods? Jefferson Plan Hare System Hamilton Plan Alabama Paradoxarrow_forwardThe next three problems are based on the following scenario. A small country with three states (A, B, and C) and a congress of 20 representatives would like todetermine an appropriate apportionment for their congress using Hamilton’s Method of apportionment.The population for each state is given in the table below. State Population A 733 B 351 C 416 The standard quota for State A is Group of answer choices 5.41 20 9.77 4.81arrow_forward
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