Question

A feasible region has vertices at (0, 0), (4, 0), (5, 5), and (0, 8). Find the maximum and minimum of the function f(x, y) = x + 3y over this region.

Answer 1

A) vertices: (2, 4), (2, 6), (1.5, 4)
max: f(2, 6) = 8
min: f(1.5, 4) = 5.5

B) vertices: (2, 4)
max: f(2, 4) = 6
min: f(2, 4) = 6

C) vertices: (2, 4), (2, 6), (1.5, 4)
max: f(2, 6) = 8
min: f(1.5, 4) = 5.5

D) vertices: (2, 4), (2, 6), (1.5, 4)
max: f(2, 6) = 8
min: f(1.5, 4) = 5.5