# Question: Consider a problem with two decision variables x1 and x2

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.

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.

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