Question: Problem 1 (22 points) Consider the following linear programming problem: Max Z = X1 + 5X2 Subject to (1) Xi + X2 =0 X1, X2

Problem 1 (22 points) Consider the following linear programming problem: Max Z = X1 + 5X2 Subject to (1) Xi + X2 =0 X1, X2 >=0 (a) Graph the constraint lines and mark them clearly with the numbers (1), (2) and (3) to indicate which line corresponds to which constraint. Darken the feasible region. Use either the corner points method or the objective function line method to determine the optimal solution(s) and the maximum value of the objective function. Provide all necessary details to justify your answers. (18 points)

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