When the utility function is U(x₁,x₂) = x₁ + x₂, and the budget constraint is p₁x₁ + p₂x₂ I, and each variable has a non-negativity constraint, use the Kuhn-Tucker condition to find the amount of consumption that maximizes the utility.

In addition to the previous problem, the upper bound of x₂ is K. i.e., 0 x₂ K. What's the answer in this case?