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.

Question

Quizplus · Accepted Answer

The Answer of 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.

The Lofton Company Has Developed the Following Linear Programming Problem