Question

In: Statistics and Probability

Determine whether the following linear optimization problem is infeasible, unbounded, or has multiple optimal solutions. Draw...

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

Solutions

Expert Solution

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.


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