Math Problem Statement
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.)
Minimize c = x + 2y subject to
x + 9y
≥
26
3x + y
≥
26
x ≥ 0, y ≥ 0.
c= (x, y)
=
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Graphical Method
Inequalities
Optimization
Formulas
Objective function: c = x + 2y
Constraint 1: x + 9y ≥ 26
Constraint 2: 3x + y ≥ 26
Non-negativity constraints: x ≥ 0, y ≥ 0
Theorems
Fundamental Theorem of Linear Programming
Suitable Grade Level
College Level or Advanced High School
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