30. Consider the following traffic flow diagram 200 100 X1 B 100 - A -150 X4 A X2 D C 100 - 50 X3 50 50 Select the augmented matrix that best describes the traffic flow above. 0 0 1 300 0 0 1 -300 A) * 1 10 0 250 1 10 0 -250 C) 01 10 100 01 10 -100 0 0 : 1 1 150 0 01 1 -150 -1 0 0 1 300 0 0 -1 300 -1 1 0 0 250 D) 1 -1 0 0 250 1 -1 0 100 B 0 1 -1 0 100 0 0 -1 1 150 O 1 -1 150 E) None of the above.The equations obtained at intersections are: 24+ dy = 500 - which has coofficiant I for a and xy and no yslum involving variable x2 2 x3. 24+X2 = 250 which has confficient I for 24 & x2 and no term involving variables x3 and xy X2+43 = 100 - which has coefficient I for x, and x3 and no term involving variables 24 and xy. X3 + Ry = 150 - which has coefficient I for 23 and my and no Term involving variables 24 & x2. The Terms that have ada not have a particular variable have been written with that variable by writing it along a Ocoefficient as D. xi = 0 # 1=1, 2 3, 4 . and the teams that have a coufficient 1, have been written explicitly so to form the matrix of coefficients. Thus, the system of equations (1), & is rewritten as : 1.24 +0. X2 + 0.213 + 1. 249 = 300 1. 24 + 1. 22 + 0. 23 + 0. 24 = 250 D . 24 + 1. 22 + 1. 23 + 0. 24 = 100 0.24 + 0. 2 2 + 1. 213 + 1. 214 = 150