An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum the occurs. Objective Function z=25x+24y; Constraints 0≤x≤ 10, 0≤ y ≤5, 3x +2y ≥6

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 50E
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An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of
objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum
occurs.
Objective Function z = 25x + 24y; Constraints 0≤x≤ 10, 0≤ y ≤5, 3x + 2y =6
OA. maximum: 250; at (10,0)
OB. maximum: 120; at (0,5)
OC. maximum: 72; at (0,3)
O D. maximum: 370; at (10,5)
G
Transcribed Image Text:the An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs. Objective Function z = 25x + 24y; Constraints 0≤x≤ 10, 0≤ y ≤5, 3x + 2y =6 OA. maximum: 250; at (10,0) OB. maximum: 120; at (0,5) OC. maximum: 72; at (0,3) O D. maximum: 370; at (10,5) G
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