Math Problem Statement
Solve graphically
max z=2x+1y
when 2x+1y≤2
4x+3y≤5 x,y≥0
Give an exact answer or round it to one decimal place.
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Graphing Inequalities
Feasible Region
Optimization
Formulas
Objective function: z = 2x + y
Constraints: 2x + y ≤ 2, 4x + 3y ≤ 5
System of equations for intersection: 2x + y = 2, 4x + 3y = 5
Theorems
Fundamental Theorem of Linear Programming
Suitable Grade Level
Grades 11-12
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