Answer to Question #268522 in Math for Matheca

Question

Answer with solution:

3. A weighted voting system for voters A, B, C, D, and E is given by {35 : 29, 11, 8, 4, 2}. The weight of

voter A is 29, the weight of voter B is 11, the weight of voter C is 8, the weight of voter D is 4, and the weight of voter E is 2.

a. What is the quota?

b. What is the weight of the coalition {A, D, E}?

c. Is {A, D, E} a winning coalition?

d. Which voters are critical voters in the coalition {A, C, D, E}?

e. How many coalitions can be formed?

f. How many coalitions consist of exactly two voters?