# Diet problem

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