Finite Mathematics : Linear Inequalities and Linear Programming

Study concepts, example questions & explanations for Finite Mathematics

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Example Questions

Example Question #1 : Linear Inequalities And Linear Programming

The graph depicts which inequality?

Screen shot 2016 05 11 at 2.06.48 pm

Possible Answers:

Correct answer:

Explanation:

To identify the inequality the graph represents first identify range.

Screen shot 2016 05 11 at 2.06.48 pm

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  does not equal four, it only equals values greater than four.

Thus, the correct inequality is

Example Question #2 : Linear Inequalities And Linear Programming

The initial simplex tableau for a maximization linear programming problem is

Locate the first pivot element.

Possible Answers:

Row 2, Column 2

Row 1, Column 1

Row 1, Column 2

Row 2, Column 1

Correct answer:

Row 1, Column 2

Explanation:

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 Column 2:

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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