A company is run by two senior executives and two junior executives. Suppose that these four executives vote on all decisions made. In order for a decision to pass both senior executives and one junior executive must vote in favor of it. Which weighted voting system models this scenario?
A) [5: 2,2,1,1]
B) [5: 4,4,1,1]
C) [16: 6,6,5,5]
D) [12: 6,6,2,2]
E) None of the above.

Question

A company is run by two senior executives and two junior executives. Suppose that these four executives vote on all decisions made. In order for a decision to pass both senior executives and one junior executive must vote in favor of it. Which weighted voting system models this scenario?
A)  [5: 2,2,1,1] 
B)  [5: 4,4,1,1] 
C)  [16: 6,6,5,5] 
D)  [12: 6,6,2,2] 
E) None of the above.

Quizplus · Accepted Answer

The senior executives have a combined weight of 5, and at least one junior executive must vote in favor of the decision, so the junior executives have a combined weight of at least 2. The only weighted voting system that satisfies these conditions is [5: 2,2,1,1].

A Company Is Run by Two Senior Executives and Two