2.2 Household welfare A typical household in Autarka has an income of $90,000 per year, which they spend on food (good x) and clothing (good y). Their preferences over consumption baskets are represented by the utility function. U : xl'l'lyl/'l. The associate marginal utilities are, 1z4 1/4 _ Y _ X i'i/l'Ux 4X3\" and MU), 439/3\". The price of food is PX : $9 per meal, and the price of clothing is Py : 36 per item. Each household has a 20% probability of experiencing a major injury or illness in any given year. If a household experiences a major injury or illness, its income is reduced to $14,400 per year