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Solve the following linear programming problem: maximize 3x + 5y subject to the constraints -5у < -15, Зх — 2у > 0, Зх + Зу < 30 First, graph and shade the feasible set, i.e., the points (if any) that satisfy the constraints. Then find the coordinates of all of the corner points of the feasible set. Which one of the following statements best describes the corner points: A. There are no corner points, because there are no points that satisfy all of the inequalities. B. There are no corner points, because the shaded points constitute a single half-plane. C. There is exactly one corner point. D. There are exactly two corner points. E. There are exactly three corner points. F. There are exactly four corner points. G. There are exactly five corner points. H. There are more than five corner points. Statement:

Solve the following linear programming problem: maximize 3x + 5y subject to the constraints -5у < -15, Зх — 2у > 0, Зх + Зу < 30 First, graph and shade the feasible set, i.e., the points (if any) that satisfy the constraints. Then find the coordinates of all of the corner points of the feasible set. Which one of the following statements best describes the corner points: A. There are no corner points, because there are no points that satisfy all of the inequalities. B. There are no corner points, because the shaded points constitute a single half-plane. C. There is exactly one corner point. D. There are exactly two corner points. E. There are exactly three corner points. F. There are exactly four corner points. G. There are exactly five corner points. H. There are more than five corner points. Statement:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.6: Systems Of Inequalities
Problem 44PFA
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Please show steps and solutions to graph the equations and solve for corner points as well as finding the maximum and values for the objective function

Solve the following linear programming problem: maximize Зх + 5у subject to the constraints -5y < -15, 3x – 2y 2 0, Зх + Зу < 30 First, graph and shade the feasible set, i.e., the points (if any) that satisfy the constraints. Then find the coordinates of all of the corner points of the feasible set. Which one of the following statements best describes the corner points: A. There are no corner points, because there are no points that satisfy all of the inequalities. B. There are no corner points, because the shaded points constitute a single half-plane. C. There is exactly one corner point. D. There are exactly two corner points. E. There are exactly three corner points. F. There are exactly four corner points. G. There are exactly five corner points. H. There are more than five corner points. Statement:
Transcribed Image Text:Solve the following linear programming problem: maximize Зх + 5у subject to the constraints -5y < -15, 3x – 2y 2 0, Зх + Зу < 30 First, graph and shade the feasible set, i.e., the points (if any) that satisfy the constraints. Then find the coordinates of all of the corner points of the feasible set. Which one of the following statements best describes the corner points: A. There are no corner points, because there are no points that satisfy all of the inequalities. B. There are no corner points, because the shaded points constitute a single half-plane. C. There is exactly one corner point. D. There are exactly two corner points. E. There are exactly three corner points. F. There are exactly four corner points. G. There are exactly five corner points. H. There are more than five corner points. Statement:
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