Math Problem Statement
Solve the linear programming problem by the method of corners. (There may be more than one correct answer.)
Minimize C = 3x + 5y
subject to 4x + y ≥ 40
2x + y ≥ 30
x + 3y ≥ 30
x ≥ 0, y ≥ 0
The minimum is C =
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(x, y) =
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Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Optimization
Inequalities
Method of Corners
Formulas
Objective function: C = 3x + 5y
Corner points (vertices) evaluation method
Theorems
Method of Corners in Linear Programming
Suitable Grade Level
Grade 11-12
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