12 FIGURE 3.7 Solution space for Problem 7, Set 3.3b 4 1 0 2 345 7. Consider the two-dimensional solution space in Figure 3.7. (a) Suppose that the objective function is given as Maximizez 36x2 If the simplex iterations start at point A,identify the path to the optimum point E Determine the entering variable, the corresponding ratios of the feasibility condi- tion, 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 (b) Maximize z = 4x1 + x2 (c) Repeat (c), assuming that the objective function is Maximize z = x1 + 4x2