Answered: Solve the LP problems. If no optimal…

Solve the LP problems. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 67P

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Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.

Question

Solve the LP problems. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded.

Minimize c= 0.4x + 0.1y
subject to 30x + 20y > 600
0.1x + 0.4y 2 4
0.2x + 0.3y 2 4.5
x > 0, y > 0.

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