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You Are Using the Simplex Method to Solve the Following

Question 3

Essay

You are using the simplex method to solve the following linear programming problem.Maximize Z = 6x1 + 5x2 - x3 + 4x4,subject to 3x1 + 2x2 - 3x3 + x4 ≤ 120 3x1 + 3x2 + x3 + 3x4 ≤ 180 and x1 ≥ 0,x2 ≥ 0,x3 ≥ 0,x4 ≥ 0.You have obtained the following final simplex tableau where x5 and x6 are the slack variables for the respective constraints. You are using the simplex method to solve the following linear programming problem.Maximize Z = 6x<sub>1</sub> + 5x<sub>2</sub> - x<sub>3</sub> + 4x<sub>4</sub>,subject to 3x<sub>1</sub> + 2x<sub>2</sub> - 3x<sub>3</sub> + x<sub>4</sub> ≤ 120 3x<sub>1</sub> + 3x<sub>2</sub> + x<sub>3</sub> + 3x<sub>4</sub> ≤ 180 and x<sub>1</sub> ≥ 0,x<sub>2</sub> ≥ 0,x<sub>3</sub> ≥ 0,x<sub>4</sub> ≥ 0.You have obtained the following final simplex tableau where x<sub>5</sub> and x<sub>6</sub> are the slack variables for the respective constraints. Use the fundamental insight presented in Sec.5.3 of the textbook to identify Z*, ,and . Use the fundamental insight presented in Sec.5.3 of the textbook to identify Z*, You are using the simplex method to solve the following linear programming problem.Maximize Z = 6x<sub>1</sub> + 5x<sub>2</sub> - x<sub>3</sub> + 4x<sub>4</sub>,subject to 3x<sub>1</sub> + 2x<sub>2</sub> - 3x<sub>3</sub> + x<sub>4</sub> ≤ 120 3x<sub>1</sub> + 3x<sub>2</sub> + x<sub>3</sub> + 3x<sub>4</sub> ≤ 180 and x<sub>1</sub> ≥ 0,x<sub>2</sub> ≥ 0,x<sub>3</sub> ≥ 0,x<sub>4</sub> ≥ 0.You have obtained the following final simplex tableau where x<sub>5</sub> and x<sub>6</sub> are the slack variables for the respective constraints. Use the fundamental insight presented in Sec.5.3 of the textbook to identify Z*, ,and . ,and You are using the simplex method to solve the following linear programming problem.Maximize Z = 6x<sub>1</sub> + 5x<sub>2</sub> - x<sub>3</sub> + 4x<sub>4</sub>,subject to 3x<sub>1</sub> + 2x<sub>2</sub> - 3x<sub>3</sub> + x<sub>4</sub> ≤ 120 3x<sub>1</sub> + 3x<sub>2</sub> + x<sub>3</sub> + 3x<sub>4</sub> ≤ 180 and x<sub>1</sub> ≥ 0,x<sub>2</sub> ≥ 0,x<sub>3</sub> ≥ 0,x<sub>4</sub> ≥ 0.You have obtained the following final simplex tableau where x<sub>5</sub> and x<sub>6</sub> are the slack variables for the respective constraints. Use the fundamental insight presented in Sec.5.3 of the textbook to identify Z*, ,and . .

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