Solve the following linear programming problem graphically: Maximize Z=4X₁ + 4X₂ Subject to: 3X₁ +5X₂ ≤ 150 X₁ - 2X₂ ≤ 10 5X₁ +3X₂ ≤ 150 X₁, X2₂ 20 1) Using the line drawing tool, plot the constraints by picking two endpoints for each line. Do not plot the nonnegativity constraints. 2) Using the point drawing tool, plot the five corner points which define the feasible region. The optimal solution is X₁ = and X₂ = (round your responses to two decimal places). Maximum profit is $ (enter your response as a whole number).

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