3 10 points What are the conditions that must be satisfied f

3) (10 points) What are the conditions that must be satisfied for a feasible direction, delta x, for each set of constraints? a) At point x = (9,5,0) 2x1+3x3= 18 x1+x2+2x3 = 14 x1,x2,x3 = > 0 b) At point x = (0,4,0) x1+2x28 3x2 -x3 = > 12 x1+x2+x3=4 x1,x2,x3 = > 0

Solution

a) the condition are satisfied for that points

2*9 + 3*0 = 18

9+5+2*0 = 14

b)

the conditions are satisfied for that points

0+ 2*4 = 8

3*4 - 0 = 12

0 + 4 + 0 =4