Question: Consider the following linear programming problem in standard (inequality) form: max 6x1 + 5x2 3x3 10x4 + 4x5 (50 16)x1 + 12x2 + 2x3 +

Consider the following linear programming problem in standard (inequality) form: max 6x1 + 5x2 3x3 10x4 + 4x5 (50 16)x1 + 12x2 + 2x3 + 8x4 + 14x5 5 0 4x1 +(sl 12)x2 18x3 + 12x4 + 16x5 5 18 x1,x2,x3,X4,xs 2 0 S0 = 1 |S1 = 9 Introduce slack variables and consider the situation in which x2 and x3 are basic and all other variables are nonbasic. Write down: (a) matrix B, (b) matrix N, (c) vector b, (d) vector c_B, (e) vector c_N, (f) matrix B"(-1}N, (g) vector x*_B = B"(1) b, (h) scalar: at: = c_BAT B"(1)b, (i) vector z_N ,1: =(B"(1)N)"T c_Bc_N, (j) the dictionary corresponding to this basis

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