Math 484.  December 3,  2009 .   Midterm 3.  
5 problems, 15 pts each. Name____________________________


  1--3. Solve matrix games: If you cannot find optimal strategies, give the best you can find.
1.
1
2
3
4
1
2
6
6
1
4
5
4
6
5
5
2
6
5
5
7
6
0
0
1
1
4
2
0
1
1
4
3
2
4
0
4
1
2
1
3
6
0


2.
1
2
3
1
2
4
0
3
1
4
4
2
4
4
3
3
2
0
2
3
1
4
1
4
0
2
3
2
0
1
2
4
2
1
3

3.
2
0
2
-2
2
-2
-1
2
4
2
3
1

4.  Solve for x, y

x+2y = 3
2x+ty=3

where t is a given number.



5. Find the mean, the midrange, and the  central value for the following numbers:
0,-1, 3,4,5,-1,7,8,9,0, 0, -1,-2.