How do you find the optimal solution for each one and then compare them?

Problem 1. In each case given below, there are two optimization problems with optimal objective values z and w respectively. You can assume that both the problems are feasible and bounded. In each case, select the MOST correct one answer and provide explanation. If no explanation is provided, you will get 0 score. (1) z=maxs.t.4x1+3x2+x34x1,x2,x302x13x2+4x3w=mins.t.x1+x2+9x324y1+2y24y1+y223y1+y23y1,y20 (a)zw(b)zw(c)z=w(d)Thereisnotenoughinformationtoobtaina relationship between z and w. (2) z=min3x12x2+x3w=min4x12x2s.t.x1+5x2+2x32s.t.x1+5x222x1+4x2x342x1+4x24x10,x2,x30x10,x20 (a)zw(b)zw(c)z=w(d)Thereisnotenoughinformationtoobtaina relationship between z and w. (3) z=maxs.t.x1+2x2x343x12x2x3x1+2x2+3x32w=maxx1,x20,x303x12x2x3+(2x2x33)s.t.x1,x20,x30x1+2x2x34 (a) zw (b) zw (c) z=w (d) There is not enough information to obtain a