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The Lofton Company has developed the following linear programming problem
Max
x1 + x2
s.t.
2x1 + x2 ≤ 10
2x1 + 3x2 ≤ 24
3x1 + 4x2 ≥ 36
but finds it is infeasible. In revision, Lofton drops the original objective and establishes the three goals
Goal 1:
Don't exceed 10 in constraint 1.
Goal 2:
Don't fall short of 36 in constraint 3.
Goal 3:
Don't exceed 24 in constraint 2.
Give the goal programming model and solve it graphically.
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