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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.

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    Graphical Solutions to Linear Programming Problems for Profit Maximization B.1 Solve the following linear programming problem graphically: Maximize profit= 4X + 6Y Subject to: X + 2Y ≤ 8 5X + 4Y ≤ 20 X,Y ≥ 0 Corner Points X Y Z 0 0 0 0 4 24 4 0 16 1.33 3.33 25.3 0 Therefore, solution is 25.30 with X=1.33 and Y=3.33 • B.2 Solve the following linear programming problem graphically: Maximize profit= X + 10Y Subject to: 4X + 3Y ≤ 36 2X + 4Y ≤ 40 Y ≤ 3

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