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  4. The minimum value of z = 2x1 + 3x2 subject to the constraints 2x1 + 7x2 ≥ 22, x1 + x2 ≥ 6, 5x1 + x2 ≥ 10 and x1 , x2 ≥ 0 is

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Q. The minimum value of $z = 2x_1 + 3x_2$ subject to the constraints $2x_1 + 7x_2 \geq 22, x_1 + x_2 \geq 6, 5x_1 + x_2 \geq 10$ and $x_1 , x_2 \geq 0$ is

Linear Programming

Solution:

Obviously, at point (4, 2), the minimum value of $z = 2x_1 + 3x_2 = 2(4) + 3(2) = 14 $

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