Diet problem

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Select levels of food consumption so as to minimize total cost subject to nutrient requirements. As a linear program,

LaTeX: \min \{c^Tx : Ax \ge b, \; x \ge 0\},

LaTeX: x_j is the level of food LaTeX: j at unit cost LaTeX: c_j. The LaTeX: i-th nutrient requirement (e.g., amount of vitamin C) is LaTeX: b_i, and LaTeX: A_{i, j} is the amount of nutrient LaTeX: i in each unit of food LaTeX: j.

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