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Consider the following problem.Maximize Z = 2x1 + 4x2 + 3x3,subject to x1 + 3x2 + 2x3 = 20 x1 + 5x2 ≥ 10 and x1 ≥ 0,x2 ≥ 0,x3 ≥ 0.Let Consider the following problem.Maximize Z = 2x<sub>1</sub> + 4x<sub>2</sub> + 3x<sub>3</sub>,subject to x<sub>1</sub> + 3x<sub>2</sub> + 2x<sub>3</sub> = 20 x<sub>1</sub> + 5x<sub>2</sub> ≥ 10 and x<sub>1</sub> ≥ 0,x<sub>2</sub> ≥ 0,x<sub>3</sub> ≥ 0.Let be the artificial variable for the first constraint.Let x<sub>5</sub> and be the surplus variable and artificial variable,respectively,for the second constraint.You are now given the information that a portion of the final simplex tableau is as follows: (a)Extend the fundamental insight presented in Sec.5.3 of the textbook to identify the missing numbers in the final simplex tableau.Show your calculations.(b)Identify the defining equations of the CPF solution corresponding to the optimal solution in the final simplex tableau. be the artificial variable for the first constraint.Let x5 and Consider the following problem.Maximize Z = 2x<sub>1</sub> + 4x<sub>2</sub> + 3x<sub>3</sub>,subject to x<sub>1</sub> + 3x<sub>2</sub> + 2x<sub>3</sub> = 20 x<sub>1</sub> + 5x<sub>2</sub> ≥ 10 and x<sub>1</sub> ≥ 0,x<sub>2</sub> ≥ 0,x<sub>3</sub> ≥ 0.Let be the artificial variable for the first constraint.Let x<sub>5</sub> and be the surplus variable and artificial variable,respectively,for the second constraint.You are now given the information that a portion of the final simplex tableau is as follows: (a)Extend the fundamental insight presented in Sec.5.3 of the textbook to identify the missing numbers in the final simplex tableau.Show your calculations.(b)Identify the defining equations of the CPF solution corresponding to the optimal solution in the final simplex tableau. be the surplus variable and artificial variable,respectively,for the second constraint.You are now given the information that a portion of the final simplex tableau is as follows: Consider the following problem.Maximize Z = 2x<sub>1</sub> + 4x<sub>2</sub> + 3x<sub>3</sub>,subject to x<sub>1</sub> + 3x<sub>2</sub> + 2x<sub>3</sub> = 20 x<sub>1</sub> + 5x<sub>2</sub> ≥ 10 and x<sub>1</sub> ≥ 0,x<sub>2</sub> ≥ 0,x<sub>3</sub> ≥ 0.Let be the artificial variable for the first constraint.Let x<sub>5</sub> and be the surplus variable and artificial variable,respectively,for the second constraint.You are now given the information that a portion of the final simplex tableau is as follows: (a)Extend the fundamental insight presented in Sec.5.3 of the textbook to identify the missing numbers in the final simplex tableau.Show your calculations.(b)Identify the defining equations of the CPF solution corresponding to the optimal solution in the final simplex tableau. (a)Extend the fundamental insight presented in Sec.5.3 of the textbook to identify the missing numbers in the final simplex tableau.Show your calculations.(b)Identify the defining equations of the CPF solution corresponding to the optimal solution in the final simplex tableau.

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