**Activity: Matching Feasible Regions with Optimal Solutions**For this task, you will match descriptions of feasible regions in linear programming problems with their corresponding descriptions of the existence of optimal solutions.**Instructions:**1. Review the descriptions of feasible regions provided.2. Using the dropdown menu, choose the correct description of the existence of optimal solutions for each feasible region.**Descriptions:**1. **The feasible region is bounded:** - [ Choose ]2. **The feasible region is unbounded and the coefficients of the objective function are positive:** - [ Choose ]3. **The feasible region is empty:** - [ Choose ]This activity will help you understand concepts related to feasible regions in linear programming and their impact on finding optimal solutions.

Answered: Image /qna-images/answer/2feda24c-c7da-4749-bc95-472bed19e957.jpg

Answered: Match the description of the feasible…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use the simplex method to solve the linear programming problem. Maximize: z = 2x₁ + x2 subject to: x₁ + 4x₂ ≤ 12 2x₁ + 6x₂ ≤ 4 X₁ + 2x2 ≤ 4 with x₁ ≥ 0, x₂ ≥ 0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum is when x₁ = x₂ = , S₁ = S2 = and S3 = B. There is no maximum solution to this linear programming problem.

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