Formulation of linear programming problems
General · Mathematics
Study notes
Q: Factory makes A (profit ₹30) and B (profit ₹50). Machine: 2A+B ≤ 100 hrs; labor: A+2B ≤ 80 hrs. Formulate. Variables: x = units of A, y = units of B. Maximize Z = 30x+50y. Subject to: 2x+y ≤ 100, x+2y ≤ 80, x ≥ 0, y ≥ 0. (Formulation: words → math! Solution comes next!)