Finite Mathematics : Linear Inequalities and Linear Programming
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Example Questions
Example Question #1 : Linear Inequalities And Linear Programming
The graph depicts which inequality?
To identify the inequality the graph represents first identify range.
Since the red line goes from negative four to infinity, we can right this in mathematical terms as follows,
Now, the inequality will remain a greater than sign because there is an open circle at four.
This means that 
Thus, the correct inequality is
Example Question #1 : Linear Inequalities And Linear Programming
The initial simplex tableau for a maximization linear programming problem is
Locate the first pivot element.
Row 2, Column 1
Row 1, Column 1
Row 1, Column 2
Row 2, Column 2
Row 1, Column 2
To select the pivot element while working a maximization problem, first, identify the pivot column by selecting the "most negative" element in the bottom, or objective, row. In the initial tableau, it is the 
In the other rows, divide the rightmost element by the element in the pivot column. The pivot row is identified by selecting the "least positive" quotient.
The least positive quotient appears in Row 1. This puts the pivot element in Row 1, Column 2.
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