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Linear Programming

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15 Questions

What is Linear Programming mainly used for?

To handle optimization problems

What is the graph of ax + b > 0 divided into?

Two semi-planes

What is the purpose of writing the equation ax + by = c when graphing an inequation?

To find the points to draw the line ax + by = c

What is the use of the table in graphing an inequation?

To find the points to draw the line ax + by = c

What is the line ST in the graph of ax + b > 0?

A vertical line parallel to the y-axis

What is the procedure to graph an inequation?

Write the equation ax + by = c, make a table, then graph

What is the graph of cy + d > 0 divided into?

Two semi-planes

What is the shape of the graph of a linear inequation in one variable?

Semi-plane

What is the purpose of converting ax + by ≤ c to ax + by = c in graphing?

To draw the graph of the line

What is the role of the line ST in graphing ax + b > 0?

It divides the xy-plane into two semi-planes

What is the relationship between the graph of ax + b > 0 and ax + b < 0?

They are parallel to each other

What is the advantage of using a table to solve ax + by = c?

It helps in graphing the line

What is the difference between the graph of ax + b > 0 and cy + d > 0?

One is parallel to the x-axis and the other is parallel to the y-axis

What is the purpose of graphing linear inequations?

To visualize the solution region

What is the first step in graphing an inequation ax + by <= c?

Write the equation ax + by = c in place of ax + by <= c

Learn about linear programming, its formulation, and graphical methods of solution. This quiz covers linear inequations, graphing, and optimization problems in two variables.

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