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(Solved): The initial simplex tableau of a linear programming problem is shown below. Answer parts (a) - (c) ...



The initial simplex tableau of a linear programming problem is shown below. Answer parts (a) - (c).
(a) Use the simplex metho

The initial simplex tableau of a linear programming problem is shown below. Answer parts (a) - (c). (a) Use the simplex method to solve the problem with column 1 as the first pivot column. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum is when and . B. There is no maximum solution for this linear programming problem.


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To solve the linear programming problem using the simplex method, we will use the initial simplex tableau and pivot on the first column.


The pivot element is the most negative entry in the objective row, which is -4 in this case. The pivot row is determined by finding the minimum ratio of the entries in the constant column divided by their corresponding entry in the pivot column. The ratios for rows 1 and 2 are:


Row 1: 11/1 = 11
Row 2: 52/1 = 52

Thus, the pivot row is row 1, and the pivot element is -4 in row 1, column 1.
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