Maximizing the objective function using linear programming

Maximizing the objective function using linear programming

Assessment

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Mathematics

11th Grade - University

Hard

05:13

7 questions

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1.

Multiple Choice

30 sec

1 pt

What is the primary goal of linear programming as introduced in the video?

To find the shortest path in a graph

To determine the feasible region and optimize an objective function

To calculate the area of geometric shapes

To solve quadratic equations

2.

Multiple Choice

30 sec

1 pt

When graphing the constraint Y ≤ 5, what does the shaded region represent?

Values greater than 5

Values less than or equal to 5

Values equal to 5

Values not equal to 5

3.

Multiple Choice

30 sec

1 pt

Which line represents the constraint X = 4 on the graph?

A vertical line at X = 4

A horizontal line at Y = 4

A curved line

A diagonal line through the origin

4.

Multiple Choice

30 sec

1 pt

What is the significance of the vertices in the feasible region?

They are the points where the graph intersects the axes

They are the points with the highest Y values

They are the points where two constraints meet

They are the points with the lowest X values

5.

Multiple Choice

30 sec

1 pt

How do you determine the maximum value of the objective function?

By finding the midpoint of the feasible region

By evaluating the objective function at each vertex

By calculating the area of the feasible region

By averaging the X and Y values of the vertices

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