Now, imagine instead that a subsidy was only offered to the low wealth consumers. Every low wealth consumer gets a housing voucher of $ total for housing. It can only be spent on housing. Set up the utility maximization problem and solve. Note, this is now a Kuhn-Tucker problem, with a budget of m+, and a constraint that the consumer spends at least $ on housing: a. What is the condition on for the solution to be a corner point solution? What are h and in this case? b. What is condition on to be an interior solution, and what is h in this case?