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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.
Diverticulitis
Inflammation of the diverticuli, which are abnormal dilations in the intestine.
Intestinal Wall
The multi-layered tissue lining the intestines, responsible for nutrient absorption and barrier protection against pathogens.
Abnormal Dilations
unusual expansions or widenings of vessels, cavities, or organ passages in the body.
Metabolism
The set of life-sustaining chemical reactions in organisms that involve the conversion of food to energy, the construction of proteins and nucleic acids, and the breakdown of waste products.
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