Question

Consider the LP

max x₁ + 2x₂
s.t. x₁ + x₂ + x₃ = 8
x₁ , x₂, x₃ ≥ 0
Please use the interior-point algorithm and begin at x⁽⁰⁾ = (3, 4, 1) to determine the next feasible solution x⁽¹⁾.

Answer 1

To find the next feasible solution using the interior-point algorithm, start with the initial feasible solution and compute the search direction and step size.

Step-by-step explanation:

To use the interior-point algorithm, we start with the initial feasible solution x⁽⁰⁾ = (3, 4, 1).

Next, we need to compute the search direction and the step size.

By solving the system of equations using the interior-point algorithm, we can find the next feasible solution x⁽¹⁾.