3. A consumer wants to maximize utility=^0.25*^0.4subject to the budget constraint2+8=104

a. Solve for the optimal values of,,

As the FOCs are non-linear, you cannot use linear algebra. Rather, take the ratio of the first two FOCs to get started on the solution.

b. Check that the second order conditions for constrained maximization are satisfied by evaluating the bordered Hessian at the optimal values.