Maximizing the objective function using linear programming

Maximizing the objective function using linear programming

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use linear programming to determine a feasible region, identify vertices, and optimize an objective function. It covers graphing constraints on an XY axis, finding intersection points to identify vertices, and calculating the maximum value of the objective function using these vertices.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in using linear programming to determine the feasible region?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you graph the constraint Y ≤ 5?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the line X = 4 represent in the context of the graph?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to rewrite the constraint Y > -X in slope-intercept form.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the vertices of the feasible region determined in the video?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you optimize the objective function using the vertices?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the maximum value obtained from the coordinates provided?

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