From: "Miranda Hickman" <mirandachickman@gmail.com>
Date: December 4, 2008 12:25:07 PM EST
To: lxv1@psu.edu
Subject: Exam solutions

1.� Saddle point.� --> Value of the game =7
�
2.� Reduce by domination.� (c1, r5, r3, r4, c3, c5, c6 dominated)
Optimal row strategy:� (3*R1 + R2)/4
Optimal col strategy:�� (3*C2 + C4)/4
Value of the game = 7/4
[See Kelsey's paper for the correct answer. -LV]

3.�Reduce by domination. (c1, r1)
Use graphing method...
Optimal row strategy:�� (5*R3 + 3*R2)/8
Optimal col strategy:�� (5*C3 + 3*C4)/8
Value of the game = 15/8
[See Kelsey's paper for the correct answer. -LV]

4.� if t not equal to 1/4 -->� y = (6t-12)/(1-4t)� and x = 3 - t(6t-12)/(1-4t)
���� if t = 0 --> y = -12 and x = 3
���� if t = 1/4 --> infeasible [no slutions. -LV]
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5. mean = 29/12, midrange = 4, central value =� 0