Question: Consider a road divided into segments that is illuminated by lamps. Let be the power of the -th lamp. The illumination of the -th segment

Consider a road divided into segments that is illuminated by lamps. Let be the power of the -th lamp. The illumination of the -th segment is assumed to be =1 , where are known coefficients. Let be the desired illumination of road . We are interested in choosing the lamp powers so that the illuminations are close to the desired illuminations . Provide a reasonable linear programming formulation of this

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