Objective function and constraints
General · Mathematics
Study notes
Q: Identify objective and constraints: Max Z = 40x+60y; 3x+2y ≤ 120, x+y ≤ 50, x,y ≥ 0. Objective: Z = 40x+60y (MAXIMIZE - profit!). Constraints: 3x+2y ≤ 120 (resource 1), x+y ≤ 50 (resource 2). Non-negativity: x ≥ 0, y ≥ 0 (can't make negative!). All LINEAR: lines and half-planes!