Aspire Faculty ID #16789 · Topic: AMU MCA 2025 · Just now
AMU MCA 2025

Optimal value of the following LPP:
Max $z = 2x_1 + 3x_2$
Subject to
       $6x_1 + 5x_2 \le 25$
       $x_1 + 3x_2 \le 10$
        $x_1, x_2 \ge 0$

Solution

Corner points of feasible region are checked. Maximum value of $z$ occurs at intersection of $6x_1 + 5x_2 = 25$ and $x_1 + 3x_2 = 10$. Substituting gives $x_1 = 2.5$, $x_2 = 3$. $z = 2(2.5) + 3(3) = 5 + 9 = 13.5$.

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