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Problem 1 Suppose we have created a simplex tableau for a linear program (assuming it is a maximization problem) that looks like the following: Row 0 1 2 3 4 2 x1 1 -20 0 0 0 0 1 x2 x3 0 1 -1 0 0 1 0 0 1 0 0 0 0 X4 X5 X6 rhs 80 0 0 0 0 10 1 0 1 1 0 240 3 1 1 0 3 0 2 (a) Based on the current tableau, write down the corresponding basic feasible solution. (b) The current tableau is clearly not optimal. To proceed to the next step, which variable will be chosen as the entering variable and which variable will be chosen as the leaving variable? (c) Write down the tableau that results from performing one simplex pivot/iteration based on your choice in part (b). Show your step-by-step work . (d) Is the solution indicated by your simplex tableau optimal after you finish part (c)? If so, write down the optimal solution and the optimal objective value. If not, identify the next entering variable and leaving variable.

Problem 1 Suppose we have created a simplex tableau for a linear program (assuming it is a maximization problem) that looks like the following: Row 0 1 2 3 4 2 x1 1 -20 0 0 0 0 1 x2 x3 0 1 -1 0 0 1 0 0 1 0 0 0 0 X4 X5 X6 rhs 80 0 0 0 0 10 1 0 1 1 0 240 3 1 1 0 3 0 2 (a) Based on the current tableau, write down the corresponding basic feasible solution. (b) The current tableau is clearly not optimal. To proceed to the next step, which variable will be chosen as the entering variable and which variable will be chosen as the leaving variable? (c) Write down the tableau that results from performing one simplex pivot/iteration based on your choice in part (b). Show your step-by-step work . (d) Is the solution indicated by your simplex tableau optimal after you finish part (c)? If so, write down the optimal solution and the optimal objective value. If not, identify the next entering variable and leaving variable.

Advanced Engineering Mathematics
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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Problem 1 Suppose we have created a simplex tableau for a linear program (assuming it is a maximization problem) that looks like the following: Row 0 1 2 3 4 2 x1 1 -20 X2 X3 0 0 0 1 0 00 0 -1 0 0 X4 X5 x6 rhs 1 0 80 0 0 0 1 0 0 1 0 1 0 1 240 0 3 1 0 1 0 0 3 1 1 0 2 (a) Based on the current tableau, write down the corresponding basic feasible solution. (b) The current tableau is clearly not optimal. To proceed to the next step, which variable will be chosen as the entering variable and which variable will be chosen as the leaving variable? (c) Write down the tableau that results from performing one simplex pivot/iteration based on your choice in part (b). Show your step-by-step work. (d) Is the solution indicated by your simplex tableau optimal after you finish part (c)? If so, write down the optimal solution and the optimal objective value. If not, identify the next entering variable and leaving variable.
Transcribed Image Text:Problem 1 Suppose we have created a simplex tableau for a linear program (assuming it is a maximization problem) that looks like the following: Row 0 1 2 3 4 2 x1 1 -20 X2 X3 0 0 0 1 0 00 0 -1 0 0 X4 X5 x6 rhs 1 0 80 0 0 0 1 0 0 1 0 1 0 1 240 0 3 1 0 1 0 0 3 1 1 0 2 (a) Based on the current tableau, write down the corresponding basic feasible solution. (b) The current tableau is clearly not optimal. To proceed to the next step, which variable will be chosen as the entering variable and which variable will be chosen as the leaving variable? (c) Write down the tableau that results from performing one simplex pivot/iteration based on your choice in part (b). Show your step-by-step work. (d) Is the solution indicated by your simplex tableau optimal after you finish part (c)? If so, write down the optimal solution and the optimal objective value. If not, identify the next entering variable and leaving variable.
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