Question

→ C mathi.com Math for Liberal Arts Lecture Class, Fall 2021 Question 2, 2.1.3 Homework: Chapter 2 Homework HW Score: 12.5% O Points: 0 of 1 Consider the weighted voting system (g: 8,7,7,5, 4, 11, (a) What is the smallest value that the quota q can tako? (b) What is the largest value that the quota q can take? (c) What is the value of the quota if at least three-fourths of the votes are required to pass a motion? d) What is the value of the quota if more than three-fourths of the votes are required to pass a motion? (a) The smallest value that the quota q can take is

Answer 1

Given the voting system {q:8,7,7,5,4,1}

The quota (q) of the system must be over half and must not be more than the total weight

a) The smallest value that the quota q can take is given below;

The quota for at least three-fourth to pass the votes will be 24.

d) If at most three fourth of the vote are required to pass, the quota will be

[tex]\begin{gathered} \text{The value will fall in the range} \\ \frac{3}{4}\times32