1. (10 Points) Consider the following linear program: max z 10x1 + 11x2 s.t. 721 + 6.x2 0 (a) This is a two-variable linear program. Using graphical techniques, solve the LP. Be sure your graph is big enough to neatly represent the information requested in the next part of this question. Be sure to indicate the optimal values of both variables and the optimal objective function value. (b) Solve the linear program using the Simplex Method. No artificial variables will be needed. On the graph you made above, show, clearly, the sequence of (x1, x2) values from the basic feasible solutions found by your application of the Simplex Method. Be sure your labeling on the graph indicates the order in which these basic feasible solutions were obtained