The linear programming problem has an unusual characteristic. Sketch a graph of the solution region for the problem and describe the unusual characteristic. Find the minimum and maximum values of the objective function (if possible) and the points where they occur.
1. Objective function:
z = 2.5x + y
Constrains:
x ≥ 0
y ≥ 0
3x + 5y ≤ 15
5x + 2y ≤ 10
2. Objective function:
z = x + y
Constrains:
x ≥ 0
y ≥ 0
-x + y ≤ 1
-x + 2y ≤ 4