7. Consider the two-dimensional solution space in Figure 3.6.

(3) Suppose that the objective function is given as Maximize z = 3XI + 6x2 If the simplex iterations start at point A, identify the path to the optimum point E.

(b) Determine the entering variable, the corresponding ratios of the feasibility condition, and the change in the value of z, assuming that the starting iteration occurs at point A and that the objective function is given as Maximize z = 4XI + X2

(c) Repeat (b), assuming that the objective function is Maximize z = Xl + 4X2