Consider the following LP: maximize: z = 5x1 + 2x2 + 3x3 subject to: x1 + 5x2 + 2x3 = 30 x15x26x3 <= 40 x1, x2, x3 >= 0 Given that the artificial variable x4 and the slack variable x5 form the starting basic variables and that M was set equal to 100 when solving the problem, the optimal tableau is given as: Basic x1 x2 x3 x4 x5 Solution Z 0 23 7 105 0 150 x1 1 5 2 1 10 30 x5 0 -10 -8 -1 1 10 Write the associated dual problem and determine its optimal solution in two ways.