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

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.

orchestra answered 2 years ago

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

Use the simplex method to determine whether the following LOP is optimal, unbounded, or infeasible. Maximize...

Use the simplex method to determine whether the following LOP is optimal, unbounded, or infeasible. Maximize z = x1 − x2 Subject to 2x1 − x2 = −5 x1 − 2x2 ≤ 3 −x1 + x2 ≤ −1 and x1 ≥ 0.

Prove that if the primal minimisation problem is unbounded then the dual maximisation problem is infeasible.

To find the optimal solution to a linear optimization problem, do you have to examine all...

To find the optimal solution to a linear optimization problem, do you have to examine all the points in the feasible region? Explain. Can a linear programming problem have no solution? More than one solution? Explain. ---------------------------------------------------------------------------------------------------------------- A beverage can manufacturer makes three sizes of soft drink cans—Small, Medium and Large. Production is limited by machine availability, with a combined maximum of 90 production hours per day, and the daily supply of metal, no more than 120 kg per day....

When can multiple optimal solutions can occur in linear programming problems? Explain.

Can there be multiple optimal solutions to an assignment problem? How to identify such situations

How to determine all the basic solutions of an optimization problem, and classify them as feasible...

How to determine all the basic solutions of an optimization problem, and classify them as feasible or infeasible? As an example, Maximize z= 2x1 + 3x2 Subject to: x1 + 3x2 <= 6 3x1 + 2x2 <= 6 x1 + x2 >= 0 Some solutions are (2,0), (0,2), (0,0), (6/7, 12/7), but are there more solutions? And how do you tell if they are infeasile/feasible? Would you need to graph it?

Question

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

Solutions

Expert Solution

Related Solutions

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

Use the simplex method to determine whether the following LOP is optimal, unbounded, or infeasible. Maximize...

Prove that if the primal minimisation problem is unbounded then the dual maximisation problem is infeasible.

To find the optimal solution to a linear optimization problem, do you have to examine all...

When can multiple optimal solutions can occur in linear programming problems? Explain.

Can there be multiple optimal solutions to an assignment problem? How to identify such situations

How to determine all the basic solutions of an optimization problem, and classify them as feasible...

For the following linear programming problem, determine the optimal solution by the graphical solution method Max...

1. Solve for the optimal values of C1 and C2 in the following optimization problem: MaxC1,C2...

Write the following linear optimization problem in standard form. Maximize 2x + y Subject to ...