The feasible region is the triangle with vertices (0, 0), (4, 0) and (0, 3). What is the maximum of P = x + 2y?

解說

P(0, 0) = 0, P(4, 0) = 4 and P(0, 3) = 6. The greatest value is 6. Adding the intercepts, 4 + 3, is not a value of P at a vertex.