MIMW Linear Programming

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What is linear programming?

Back

Linear programming is a method for finding a maximum or minimum value of some quantity, given a set of constraints.

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What inequality represents the situation where Sarah can make no more than 8 purses a week?

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x + y ≤ 8

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What are corner points in the context of linear programming?

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Corner points are the vertices of the feasible region where the constraints intersect.

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How do you determine the feasible region in linear programming?

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The feasible region is determined by graphing the inequalities and identifying the area that satisfies all constraints.

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What is the objective function in linear programming?

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The objective function is the equation that needs to be maximized or minimized, such as Z = 5x + 2y.

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What does it mean to maximize a function in linear programming?

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To maximize a function means to find the highest possible value of the objective function within the feasible region.

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What does it mean to minimize a function in linear programming?

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To minimize a function means to find the lowest possible value of the objective function within the feasible region.

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What is an example of a constraint in linear programming?

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An example of a constraint is x + y ≤ 8, which limits the total number of purses Sarah can make.

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What is the significance of corner points in optimization problems?

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Corner points are significant because the maximum or minimum values of the objective function occur at these points.

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How do you solve a system of inequalities?

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To solve a system of inequalities, graph each inequality and find the overlapping region that satisfies all conditions.