(10%) Consider the following linear programming model. Maximize Z=3x1 + 2x2 + 5x3 subject to x1 + 2x2 + x3 s 40 (resource 1) 3x1 + 2x3 60 (resource 2) x + 4x2 0 Let x4, xs and x6 be the slack variables of constraints 1, 2 and 3 respectively. The optimum tableau is given as follows. Suppose the unit prices of each resource are all equal to 1.5, identify which resource should be given an increase in level? Coefficients of: RHS Z X Basic Variable z X2 X; 2 4 0 0 0 1 0 1 1/2 1 -1/4 0 -1/4 3/2 2 0 160 5 30 10 0 1 0 0 0 1/2 1 0 1 X6 0 0 -2