Question

In the given graph the coordinates of M₁ are

Options

• x₁ = 5, x₂ = 30

• x₁ = 20, x₂ = 16

• x₁ = 10, x₂ = 20

• x₁ = 20, x₂ = 30

Answer 1

x₁ = 10, x₂ = 20

Explanation:

4x₁ + 2x₂ = 80 (or) 2x₁ + x₂ = 40

2x₁ + x₂ = 40 ……(1)

2x₁ + 5x₂ = 120 ……(2)
− 4x₂ = − 80 ........[Equation (1) – (2)]

x₂ = 20

But, 2x₁ + x₂ = 40

2x₁ + 20 = 20

x₁ = 10