Question: For each of the following Linear Programming problems: Sketch a graph of the feasible region. Determine the coordinates of the vertices. Determine the optimal solution(s)

For each of the following Linear Programming

For each of the following Linear Programming problems: Sketch a graph of the feasible region. Determine the coordinates of the vertices. Determine the optimal solution(s) to the Linear Programming problem. + Objective: Maximize 5x Subject to: 2 x 7y + 7z + 3y + 4z = 24 + 4y 4z = 36 (a) 6 x + x, y, z > 0 3z Objective: Minimize 2x + 3y + Subject to: 5x + 2y + 3x + 2y 7z 420 (b) + 5z > 280 x, y, z > 0 For each of the following Linear Programming problems: Sketch a graph of the feasible region. Determine the coordinates of the vertices. Determine the optimal solution(s) to the Linear Programming problem. + Objective: Maximize 5x Subject to: 2 x 7y + 7z + 3y + 4z = 24 + 4y 4z = 36 (a) 6 x + x, y, z > 0 3z Objective: Minimize 2x + 3y + Subject to: 5x + 2y + 3x + 2y 7z 420 (b) + 5z > 280 x, y, z > 0

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