Prepare a graph of the constraints and objective function and solve the following linear programming problem: Maximize: f=2x₁-x₂ Subject to constraint 1: x₁ + x₂ > 2 constraint 2: x₁ + x₂ ≤5 constraint 3: x₁-x₂ ≤1 constraint 4: -x₁ + x₂ ≤4 constraint 5: x, 20 constraint 6: x₂ 20 Hints: Draw the line of each constraint on the graph below (two constraints are already drawn) After drawing all the lines shade the optimal region. Try f-0, f=2 and f-4. Which one is the optimum, and what are the values of x1 and x2? -B constraint2 -2 -1 -5 --4- 3- 2- 1 +0 -1- -2 --3- -4 X₂ 0 constraint4 1 2 3 4 5 X 6 x₂

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