Midterm 1,  5 problems, 15 points each.
 

1. Solve for x
a(a-1)x =  a²
where a is a given number.
 
 

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

3. Write LP in standard and canonical forms:

f=  x+ y -> max,  0 <= x <= 9, y <= 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