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Consider the linear programming problem given. Maximize subject to P = 9x + By x-y53 X52 x≥0, y ≥ 0 (a) Sketch the feasible set for the linear programming problem. No Solution Help -10-9-8-6-6-4-3-2-1 10 9 7 6 5 4 3 2 1 2 5 8 9 10 -2 4 9. મન કે ટ 3 ) -5 -6 -7 -8 -10 (b) Is the linear programming problem unbounded? Yes No WebAssign. Graphing Tool Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. (c) Solve the linear programming problem using the simplex method. (If an answer does not exist, enter DNE.) The maximum is P- at (x, y) Does the simplex method break down and, if so, how? Yes, it breaks down when there are no ratios that can be computed but there are still negative values in the bottom row. Yes, it breaks down when all of the computed ratios in the pivot column are equal. Yes, it breaks down at the very beginning when there are no negative values in the bottom row. No, it does not break down. (d) Does the result in part (c) imply that no solution exists for the linear programming problem and, if so, why? Yes. No single unique solution exists because the solution region is unbounded. Yes. No single unique solution exists because x can be made as large as we please. Yes. No single unique solution exists because no matter what values of x and y are selected, the P value will be negative. No. A single unique solution exists.

Consider the linear programming problem given. Maximize subject to P = 9x + By x-y53 X52 x≥0, y ≥ 0 (a) Sketch the feasible set for the linear programming problem. No Solution Help -10-9-8-6-6-4-3-2-1 10 9 7 6 5 4 3 2 1 2 5 8 9 10 -2 4 9. મન કે ટ 3 ) -5 -6 -7 -8 -10 (b) Is the linear programming problem unbounded? Yes No WebAssign. Graphing Tool Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. (c) Solve the linear programming problem using the simplex method. (If an answer does not exist, enter DNE.) The maximum is P- at (x, y) Does the simplex method break down and, if so, how? Yes, it breaks down when there are no ratios that can be computed but there are still negative values in the bottom row. Yes, it breaks down when all of the computed ratios in the pivot column are equal. Yes, it breaks down at the very beginning when there are no negative values in the bottom row. No, it does not break down. (d) Does the result in part (c) imply that no solution exists for the linear programming problem and, if so, why? Yes. No single unique solution exists because the solution region is unbounded. Yes. No single unique solution exists because x can be made as large as we please. Yes. No single unique solution exists because no matter what values of x and y are selected, the P value will be negative. No. A single unique solution exists.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 19E
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Consider the linear programming problem given. Maximize P=9x+ By subject to x-y≤3 x ≤2 x ≥ 0, y ≥ 0 (a) Sketch the feasible set for the linear programming problem. No Solution Help -10-9-8-7-6-5-4-3-2-1 9 8 7 6. 5 4 3 2 Fill 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 WebAssign. Graphing Tool (b) Is the linear programming problem unbounded? Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. (c) Solve the linear programming problem using the simplex method. (If an answer does not exist, enter DNE.) The maximum is P- at (x, y)- Does the simplex method break down and, if so, how? Yes, It breaks down when there are no ratios that can be computed but there are still negative values in the bottom row. Yes, it breaks down when all of the computed ratios in the pivot column are equal. Yes, it breaks down at the very beginning when there are no negative values in the bottom row. No, it does not break down. (d) Does the result in part (c) imply that no solution exists for the linear programming problem and, if so, why? Yes. No single unique solution exists because the solution region is unbounded. Yes. No single unique solution exists because x can be made as large as we please. Yes. No single unique solution exists because no matter what values of x and y are selected, the P value will be negative. No. A single unique solution exists.
Transcribed Image Text:Consider the linear programming problem given. Maximize P=9x+ By subject to x-y≤3 x ≤2 x ≥ 0, y ≥ 0 (a) Sketch the feasible set for the linear programming problem. No Solution Help -10-9-8-7-6-5-4-3-2-1 9 8 7 6. 5 4 3 2 Fill 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 WebAssign. Graphing Tool (b) Is the linear programming problem unbounded? Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. (c) Solve the linear programming problem using the simplex method. (If an answer does not exist, enter DNE.) The maximum is P- at (x, y)- Does the simplex method break down and, if so, how? Yes, It breaks down when there are no ratios that can be computed but there are still negative values in the bottom row. Yes, it breaks down when all of the computed ratios in the pivot column are equal. Yes, it breaks down at the very beginning when there are no negative values in the bottom row. No, it does not break down. (d) Does the result in part (c) imply that no solution exists for the linear programming problem and, if so, why? Yes. No single unique solution exists because the solution region is unbounded. Yes. No single unique solution exists because x can be made as large as we please. Yes. No single unique solution exists because no matter what values of x and y are selected, the P value will be negative. No. A single unique solution exists.
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