Write your answer on your own sheet of paper and either scan it or take a picture of it and upload it or type your answers into a word document As we've learned, the weights of the players can be deceiving when it comes to determining the amount of power each individual player has.

By manipulating the quota, one can make the balance of power be whatever one wants.

We’re going to work with this weighted voting system: [q: 5, 4, 3]

Determine what to use for the quota to get the indicated BPI values.

In each case, explain how you determined your answer by either writing a sentence or two to explain your thought process, or show the work to find the BPIs to prove that your quota actually works.

1) BPI(P1) = 33.33% BPI(P2) = 33.33% BPI(P3) = 33.33% [All players have equal power]

2) BPI(P1) = 60% BPI(P2) = 20% BPI(P3) = 20%

3) BPI(P1) = 50% BPI(P2) = 50% BPI(P3) = 0% [P3 is a dummy]

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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4.5%

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