Question: QUESTION 1: Graphical Method and Sensitivity Analysis (23 points) Part I Consider the following Linear Programming model and its corresponding graph. Maximize 400x+200y Subject to

QUESTION 1: Graphical Method and Sensitivity

QUESTION 1: Graphical Method and Sensitivity Analysis (23 points) Part I Consider the following Linear Programming model and its corresponding graph. Maximize 400x+200y Subject to 50x+25y=4 x>=0, y>=0 7 6 5 4 (0,4) 3 2 1 (4.0) 2 3 y = -2x+8 y = -x+4 Figure out the feasible region and WITHOUT GRAPHING THE OBJECTIVE FUNCTION, find the optimal solution(s) and the optimal value of the objective function. Justify your finding. (5 points)

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