Chapter 2, Problem 2E

Five partners $\left(P_1,P_2,P_3,P_4\text{, and }{P}_5\right)$ jointly own the Euler Moving Company. $P_1$ owns 30%, $P_2$ owns 25%, $P_3$ owns 20%, $P_4$ owns 16% and $P_5$ owns 9% of the company. Suppose that each 1% of ownership equals one vote. Describe the partnership as a weighted voting system using the standard notation $\left[q:w_1,w_2,\mathrm{...},w_N\right]$ if

a. decisions in the partnership are made by simple majority.

b. decisions in the partnership require two-thirds of the votes.