Part 2: Weighted Voting: The Hamiltonian Union often makes decisions to either pass or fail new laws. The union uses a voting system where each representative (each seat in the union) gets one vote. All representatives in each country always vote in the same way, which means this is a weighted voting system with four players, where the number of votes each country possesses is equal to the apportionment solved in questions 1 and 2. The quota set to be equal to 3/5 the number of votes. 2. Determine the quota and write it out using the weighted voting system notation [q: W₁, W2, W3, W4].

The table below shows a 4-state scenario for a country with a total population of 9,100 and 100 legislative seats to fill. The population of each state is listed in the table.

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 population of the two states (using Hamilton's Method). 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 illustrate the new states paradox? Explain. State Population A 2,000 B 7,770 C 600