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Graphical Solutions to Linear Programming Problems for Profit Maximization

A mathematical approach to solving linear programming problems using graphical methods for profit maximization.

Caleb Patterson
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Graphical Solutions to Linear Programming Problems for ProfitMaximizationB.1Solvethefollowinglinearprogrammingproblemgraphically:Maximizeprofit=4X+6YSubjectto:X+2Y≤85X+4Y≤20X,Y≥0Corner PointsXYZ000042440161.333.3325.30Therefore,solutionis25.30withX=1.33andY=3.33•B.2Solvethefollowinglinearprogrammingproblemgraphically:Maximizeprofit=X+10YSubjectto:4X+3Y≤362X+4Y≤40Y≤3

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