Question

Maximize: z = 3x₁ + 4x₂ subject to 2x₁ + x₂ ≤ 40, 2x₁ + 5x₂ ≤ 180, x₁, x₂ ≥ 0. In the LPP, which one of the following is feasible comer point?

पर्याय

• x₁ = 18, x₂ = 24

• x₁ = 15, x₂ = 30

• x₁ = 2.5, x₂ = 35

• x₁ = 20.5, x₂ = 19

Answer 1

x₁ = 2.5, x₂ = 35

Explanation:

z = 3x₁ + 4x₂

Let us solve the equations

2x₁ + x₂ = 40 ………(1)

2x₁ + 5x₂ = 180 ……….(2)

− 4x₂ = − 140 ....[Equation (1) − (2)]

x₂ = 35

We have 2x₁ + x₂ = 40
2x₁ + 35 = 40

2x₁ = 5

x₁ = 2.5