In: Statistics and Probability
Determine whether the following linear optimization problem is infeasible, unbounded, or has multiple optimal solutions. Draw a graph and explain your conclusion.
Maximize 20x + 50y
Subject to
-3x + 4y < 120
2x + 3y > 180
x, y > 0
From the given data
Red Color represents 1st equationa and green color represents 2nd equation
Problem has an unbounded solution.
In maximization problem, if shaded area is open-ended. This means
that the maximization is not possible and the LPP has no finite
solution. Hence the solution of the given problem is unbounded.