Math 484.2  October 2, 2003.   Name:_________________________________________

Midterm 1,  5 problems, 15 points each.
 

1. Solve for x
a(a-1)x a
where a is a given number.
 
 

2.  xy -> min, |x-1| +  |y-2|  <=  5.
 
 

3. Write LP in standard and canonical forms:

fx+ 2y -> max,  0 <= y <= 9, x <= 0.
 
 

4. Solve for x,y:
 
3 x 2 y
x 1 y -2 = x
0 3 -x 4 = 3

 
 

5. Pivot:
 
x y 4 3
4 5 2* x = y
-1 2 0 0 = 2