4. Jaxon's family has a budget of $500 per month to spend on food and all other goods. The price of food is $10 and the price of all other goods is $25. The utility function for his family is u(f,g) = fg (a) Write down the budget constraint (b) Draw J axon's family's budget constraint on a graph, labeling the axes, intercepts, and slope (c) Solve for the family's optimal consumption of food and all other goods ((1) J axon's family is eligible for SNAP, so the government gives them a $100 debit card that they can only use to spend on food. Write down and draw the family's new budget constraint (e) Solve for the family's new optimal consumption of food and all other goods (f) Draw the indifference curves through the old and new optimal bundle on the graph (g) How did the optimal consumption of food and all other goods change? (h) What would the family's optimal consumption be if the government instead gave them a cash transfer for the same amount, meaning they were free to spend the $100 however they pleased (i.e., not necessarily on food)? (i) Would the family be better off under SNAP or with a cash transfer? Explain