Linear Programming 16888 To convert inequality constraints to equality constraints, use additional design variables ∑ax≤ b. becomes∑ax+Xn=b Where x+1≥0 x. is called a slack variable e.g. the constraint X1+X,≤1 can be written ifx=0. this X1+X2-X2=1 constraint is X≥0,产=1,2,3 active o Massachusetts Institute of Technology -Prof de Weck and Prof Willcox Engineering Systems Division and Dept of Aeronautics and Astronautics8 © Massachusetts Institute of Technology - Prof. de Weck and Prof. Willcox Engineering Systems Division and Dept. of Aeronautics and Astronautics Linear Programming Linear Programming To convert inequality constraints to equality constraints, use additional design variables: where xn+1 ≥ 0 xn+1 is called a slack variable e.g. the constraint x1+x 2 ≤ 1 can be written x1+x 2-x 3=1 xi ≥0, i=1,2,3 1 1 1 b ecom e s n n ji i j ji i n j i i a x b a x x + b = = ∑ ∑ ≤ + = if x3=0, this constraint is active