Consider a problem with two decision variables, x1 and x2 , which represent the levels of activities 1 and 2, respectively. For each variable, the permissible values are 0, 1, and 2, where the feasible combinations of these values for the two variables are determined from a variety of constraints. The objective is to maximize a certain measure of performance denoted by Z. The values of Z for the possibly feasible values of (x1 , x2 ) are estimated to be those given in the following table: Based on this information, indicate whether this problem completely satisfies each of the four assumptions of linear programming. Justify your answers.