1. Consider the following LP: Maximize z = x, + 3x, subject to *, + x, < 2 - x, + x, 5 4 x, unrestricted x, 2 0 a. Determine all the basic feasible solutions of the problem. (create a table) b. Use direct substitution in the objective function to determine the best basic solution. c. Solve the problem graphically, and verify that the solution obtained in (b) is the optimum. (use graphing paper)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
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1. Consider the following LP:
Maximize z = x, + 3x,
subject to
X, + x, s 2
- x, + x, 5 4
x, unrestricted
*, 2 0
a. Determine all the basic feasible solutions of the problem. (create a table)
b. Use direct substitution in the objective function to determine the best basic
solution.
c. Solve the problem graphically , and verify that the solution obtained in (b) is the
optimum. (use graphing paper)
Transcribed Image Text:1. Consider the following LP: Maximize z = x, + 3x, subject to X, + x, s 2 - x, + x, 5 4 x, unrestricted *, 2 0 a. Determine all the basic feasible solutions of the problem. (create a table) b. Use direct substitution in the objective function to determine the best basic solution. c. Solve the problem graphically , and verify that the solution obtained in (b) is the optimum. (use graphing paper)
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