G. A consumer, Naptha, care about two goods, z and y, according to the utility function u(x, () = cy + y. G.1. Give Naptha's indifference curves, and show that her preferences are convex. G.2. Give expression for Naptha's MRS, and give the slope of her indifference curves where they meet the y axis. G.3. Give Naptha's demand functions and her indirect utility function. G.4. Give Naptha's compensated demand functions and her expenditure function. G.5. Give conditions under which a doubling of the price of good > does not hurt Naptha. G.6. Suppose that initially, Naptha faces prices (Pr, p,) = (1, 11) and has an income of 21. How much extra income would she need to compensate her for a doubling of p