Refer to the weighted voting system  and the Shapley-Shubik definition of power. (The five players will be called P1, P2, P3, P4, and P5.)In how many sequential coalitions is player P4 pivotal?

A. 16
B. 24
C. 4
D. 10
E. none of these


Answer: A

Mathematics

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An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 3yConstraintsx ? 0 0 ? y ? 2 x - y ? 3 x + 2y ? 6

A. Maximum: 20; at (2, 2) B. Maximum: 31; at (4, 1) C. Maximum: 6; at (0, 2) D. Maximum: 21; at (3, 0)

Mathematics

Find the requested value.f(x) = 5x - 4, g(x) = 4x2 + 14x + 5Find (-4).

A. 5
B. - 
C.
D. - 

Mathematics

Find the real solutions of the equation. -  = 2

A. {-3} B. {-2, 2} C. {-2} D. {2}

Mathematics

Find a function P(x) of least possible degree, having real coefficients, with the given zeros.7 and 1 - 4i

A. P(x) = x3 - 5x2 + 3x + 119 B. P(x) = x3 - 5x2 + 3x - 119 C. P(x) = x3 - 9x2 + 31x - 119 D. P(x) = x3 + 9x2 + 31x - 119

Mathematics