Waldo's utility function is defined by u(x₁, x₂) = x₁x₂. Find Waldo's optimal consumption of x₁and x₂subject to the constraints that he cannot spend more than w on the two goods, and his consumption of x₁must be greater or equal to some constant a (Make sure to check for corner solutions, by presenting two conditions:1) the constraint is met and 2) the constraint is not met.