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
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 (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 39E
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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)
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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
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