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Which points below are NOT corner points of the following system of inequalities? Select all that apply. 10x+5y<50 4x+3y<24 x20 y20 O (5, 0) O (0, 10) O (0, 8) O (6, 0) O (0, 0) O (3, 4) O (4, 3)

Which points below are NOT corner points of the following system of inequalities? Select all that apply. 10x+5y<50 4x+3y<24 x20 y20 O (5, 0) O (0, 10) O (0, 8) O (6, 0) O (0, 0) O (3, 4) O (4, 3)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### System of Inequalities and Corner Points #### Problem Statement: Which points below are NOT corner points of the following system of inequalities? Select all that apply. #### System of Inequalities: 1. \(10x + 5y \leq 50\) 2. \(4x + 3y \leq 24\) 3. \(x \geq 0\) 4. \(y \geq 0\) #### List of Points to Check: - \((5,0)\) - \((0,10)\) - \((6,0)\) - \((0,0)\) - \((3,4)\) - \((4,3)\) To determine which points are NOT corner points, we need to identify the feasible region and the vertices (corner points) of that region by solving the system of inequalities. These points should then be checked against the list to filter out any that are not vertices. **Note for students:** The corner points are where the boundary lines of the feasible region intersect. Please graph the inequalities and check which of these points lie on the boundary intersections.
Transcribed Image Text:### System of Inequalities and Corner Points #### Problem Statement: Which points below are NOT corner points of the following system of inequalities? Select all that apply. #### System of Inequalities: 1. \(10x + 5y \leq 50\) 2. \(4x + 3y \leq 24\) 3. \(x \geq 0\) 4. \(y \geq 0\) #### List of Points to Check: - \((5,0)\) - \((0,10)\) - \((6,0)\) - \((0,0)\) - \((3,4)\) - \((4,3)\) To determine which points are NOT corner points, we need to identify the feasible region and the vertices (corner points) of that region by solving the system of inequalities. These points should then be checked against the list to filter out any that are not vertices. **Note for students:** The corner points are where the boundary lines of the feasible region intersect. Please graph the inequalities and check which of these points lie on the boundary intersections.
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