ANSH- STUDY PERM.. X Ansh Study Permit D... X Ansh Passport Copy.. 12 V Create acco A. Alice consumers two goods, x and y. Her utility function is U(x, y) = 10In(2x + 2y) + 2y. The prices for x and y are pr and py (in dollars per unit), respectively. Alice has an income of m dollars. Find Alice's optimal bundle as a function of Pr, Py, and m. [Hint: Be aware of corner solutions!] [Recall that MUI(x,y) = (arm and MUyl(x,y) = (ity) + 2.] B. Bob's utility function is U(x, y) = min{2x + y, 2y + x}. . Draw Bob's indifference curves that pass through the bundles (10, 5) and (4, 8). . Bob has an income of $100 and Pr = 10. Find Bob's optimal bundle as a function of Py. C. Carol consumes cheese, x, and cocoa, y. Cocoa is sold in an unusual way: a units of cocoa will cost Dan a dollars. Cheese is sold in the usual way at a price of 2 dollars per unit. Carol's income is 100 dollars and her utility function is U(x, y) = x + 2y. . Set up and solve Carol's maximization problem. . Draw Carol's budget set and some of her indifference curves and label the bundle she chooses. D. Dan consumes 2 goods, x and y. His utility function is U(x, y) = xsys. Let Pr and py denote the prices of goods a and y, respectively, and let m denote Dan's income. [Note that MUxl(zy) = 3x sys and MUyl(my) = gray 3.] Dan would like to know the least expensive bundle for each utility level. Find this optimal bundle as a function of Pr, Py, and utility level (i.e., the Hicksian demand functions)