Provide an appropriate response.Consider the following preference schedule.
If the winner is decided by plurality, which of the following fairness criteria is violated?
A. Fairness Criterion 2
B. Fairness Criterion 4
C. Fairness Criterion 3
D. All of these
Answer: B
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Solve the problem.The area A = ?r2 of a circular oil spill changes with the radius. At what rate does the area change with respect to the radius when 
A. 9? ft2/ft B. 3? ft2/ft C. 6? ft2/ft D. 6 ft2/ft
Provide an appropriate response.p = 
v1 + 
v2 + 
v3 + v4 and 2v1 + v2 - 2v3 - v4 = 0Use the procedure in the proof of Caratheodory's Theorem to express p as a convex combination of three of the vi's.
A. p = 
v2 + 
v3 + 
v4
B. p = 
v1 + 
v2 + 
v4
C. p = 
v1 + 
v2 + 
v4
D. It cannot be done using only 3 vi's.
Solve the system of equations (only real solutions) by the elimination method. Check your solutions.
A. {(2, 7), (7, 2), (-2, -7), (-7, -2)} B. {(-2, -7), (-7, -2)} C. {(2, -7), (2, 7)} D. {(2, 7), (-2, 7), (2, -7), (-2, -7)}
Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. 
A. 6x
B. 
C. 
D. 