Finds a vector `x` minimizing `c . x` subject to `m . x >= b` and `x >= 0`,
LinearProgramming[c, m, b]
LinearProgramming[c, m, {{b1, s1}, {b2, s2}, …}]
LinearProgramming[c, m, b, l]
LinearProgramming[c, m, b, {l1, l2, …}]
LinearProgramming[c, m, b, {{l1, u1}, {l2, u2}, …}]
LinearProgramming[c, m, b, lu, dom]
LinearProgramming[c, m, b, lu, {dom1, dom2, …}]
LinearProgramming[{1, 1}, {{1, 2}, {3, 1}}, {3, 3}]
→ {3/5, 6/5}LinearProgramming[{2, 3}, {{1, 1}}, {{10, 0}}]
→ {10, 0}LinearProgramming[{-2, -3}, {{1, 1}, {2, 1}}, {{4, -1}, {6, -1}}]
→ {0, 4}LinearProgramming[{1, 1}, {{1, 2}, {3, 1}}, {3, 4}, {{2, 3}, {2, 3}}]
→ {2, 2}LinearProgramming[{-1, -2, -3}, {{1, 1, 1}}, {{6, -1}}, {{0, 2}, {0, 2}, {0, 2}}]
→ {2, 2, 2}LinearProgramming[{1, -1}, {{1, 1}}, {{2, 0}}, {{-5, 5}, {-5, 5}}]
→ {-3, 5}LinearProgramming[{1, 1}, {{1, 2}, {3, 1}}, {3, 4}, -Infinity]
→ {1, 1}LinearProgramming[{1, 1}, {{1, 2}, {3, 1}}, {3, 4}, {{5, 0}, {5, 0}}]
→
LinearProgramming::lpsnf: No solution can be found that satisfies the constraints.
LinearProgramming[{1, 1}, {{1, 2}, {3, 1}}, {3, 4}, {{5, 0}, {5, 0}}]LinearProgramming[{1, 1}, {{1, 2}, {3, 1}}, {3, 4}, {{0, 5}, 2}]
→
LinearProgramming::lprank012: {{0, 5}, 2} must be a scalar, a vector or a matrix with 2 columns.
LinearProgramming[{1, 1}, {{1, 2}, {3, 1}}, {3, 4}, {{0, 5}, 2}]