Mathematics

Mathematics

Problem

a. (a) Show that the inequality 2x+2y≤122x + 2y \le 12 does not introduce a new boundary when x+y≤6x + y \le 6 is already among the constraints. b. (b) Determine all distinct vertices of the feasible region for the system x+y≤6,  2x+2y≤12,  x≥0,  y≥0x + y \le 6,\; 2x + 2y \le 12,\; x \ge 0,\; y \ge 0.

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