Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the feasible region is empty and UNBOUNDED if the objective function is unbounded.) Minimize c = x + 2y + 3z subject to 3x+2y+z≥ 80 2x+y+3z ≥ 80 X≥0, y ≥0, 20 c = (x, y, z)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
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Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if
the feasible region is empty and UNBOUNDED if the objective function is unbounded.)
Minimize c = x + 2y + 3z subject to
3x+2y+z≥ 80
2x+y+3z ≥ 80
X≥0, y ≥0, 20
c =
(x, y, z)
Transcribed Image Text:Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the feasible region is empty and UNBOUNDED if the objective function is unbounded.) Minimize c = x + 2y + 3z subject to 3x+2y+z≥ 80 2x+y+3z ≥ 80 X≥0, y ≥0, 20 c = (x, y, z)
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