Consider a preemptive goal programming problem with three priority levels, just one goal for each priority level, and just two activities to contribute toward these goals, as summarized in the following table:

(a) Use the goal programming technique to formulate one complete linear programming model for this problem.

(b) Construct the initial simplex tableau for applying the streamlined procedure. Identify the initial BF solution and the initial entering basic variable, but do not proceed further.

(c) Starting from (b), use the streamlined procedure to solve the problem.

(d) Use the logic of preemptive goal programming to solve the problem graphically by focusing on just the two decision variables. Explain the logic used.

(e) Use the sequential procedure to solve this problem. After using the goal programming technique to formulate the linear programming model (including auxiliary variables) at each stage, solve the model graphically by focusing on just the two decision variables. Identify all optimal solutions obtained for each stage.