1. Solve the following P.L. problems by the graphical method. If there are alternate optima, give all solutions to the problem. In each part: color or mark the feasible region, draw the direction of increase or decrease of the objective function, and graph three level curves. Minimize Subject to z = 6x₁ - 9x2 X₁ + 5x2 ≥ 250 x₂/4 + x₂/2 ≥ 50 (-2/3)x₁+ X₂ ≤ 50 X1, X₂ 20

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