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:
f= x+ 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 |