Find the feasibility region and the vertices of the following: 1. 3x + 4y ≥ 12 x≤ 3 y22 x≥0

Graph the feasible region for the system of inequalities.   2x+y≥ 2 x≤ 2

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Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

Please show your solution and write readable thanks.

What is the maximum number of edges with 17 vertices and 6 components?

find: a. The optimal solution for PLE. b. Find the whole solution, rounded. c. How much profit could a company lose if it implemented the rounded solution? Your answer must be accompanied by your calculation memory in pdf file, it will not be valid without this support. Maximize 6X1 + 2X2 + ХЗ r.a: 4X1 + 2X2 + 7X3 > 54 3X1 + 9X2 + 8X3 0 and integers

Graph the feasible region subject to the following constraints: 2x+y≥12 x+3y≥18 2x+2y≥20 x≥0 y≥0

Use the polygon tool to graph the feasible region for the following constraints.   x+y≤10 2x-y≤2 x≥0 x≥0

Suppose the following graphical representation of feasible solutions and direction of increasing of criterion fuction? Which point is optimal solution?