Math Problem Statement
Determine graphically the minimum value of the objective function
Z = – 50x + 20y....... (1)
subject to the constraints:
2x – y ≥ – 5........ (2)
3x + y ≥ 3....... (3)
2x – 3y ≤ 12...... (4)
x ≥ 0, y ≥ 0
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Graphical Method
Objective Function
Inequalities
Formulas
Objective function: Z = -50x + 20y
Constraints: 2x - y ≥ -5, 3x + y ≥ 3, 2x - 3y ≤ 12, x ≥ 0, y ≥ 0
Theorems
Corner Point Theorem
Suitable Grade Level
Grades 11-12
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