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

Question

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 (A) 14 (B) 20 (C) 10 (D) 16

Tardigrade Admin · Accepted Answer

Obviously, at point (4, 2), the minimum value of z = 2x1 + 3x2 = 2(4) + 3(2) = 14

Q. The minimum value of $z = 2 x_{1} + 3 x_{2}$ subject to the constraints $2 x_{1} + 7 x_{2} \geq 22, x_{1} + x_{2} \geq 6, 5 x_{1} + x_{2} \geq 10$ and $x_{1}, x_{2} \geq 0$ is

14

20

10

16

Obviously, at point (4, 2), the minimum value of $z = 2 x_{1} + 3 x_{2} = 2 (4) + 3 (2) = 14$

Q. 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

14

20

10

16

Obviously, at point (4, 2), the minimum value of z=2x1​+3x2​=2(4)+3(2)=14

Q. The minimum value of $z = 2 x_{1} + 3 x_{2}$ subject to the constraints $2 x_{1} + 7 x_{2} \geq 22, x_{1} + x_{2} \geq 6, 5 x_{1} + x_{2} \geq 10$ and $x_{1}, x_{2} \geq 0$ is

Obviously, at point (4, 2), the minimum value of $z = 2 x_{1} + 3 x_{2} = 2 (4) + 3 (2) = 14$