D. Dan consumes 2 goods, x and y. His utility function is U(x, y) = x³yś. Let p, and py denote the prices of goods x and y, respectively, and let m denote Dan's income. [Note that MUx|(x,y) = x¯¾y³ and MUy[(x,y) = ²x¾y¯¾.] 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).

Peter's preferences over two goods, x and y, are represented by the utility function u(x, y) = y + 2x. a) Peter is currently consuming bundle A = (2,4) with 2 units of good x and 4 units of good y. Calculate his current level of utility from consuming this bundle. b) Write the expression the indifference curve representing Peter's current level of utility (i.e., the one you found in part (a). Next draw this indifference curve. c) By looking at the indifference curve you drew in part (b), answer the following questions: Does Peter like good x? Good y? Explain. What can you say about the marginal rate of substitution of good x for y, MRSxy? Is it positive? Negative? Constant? Increasing? Decreasing? Interpret/explain your answer in terms of the tradeoffs Peter is willing to make between goods to keep the same utility level. d) On the same graph you drew in part (b), draw the indifference curve for a utility level of 10. Plot and label in the graph bundles B = (1,2), C = (1,6), and D =…

Bob views apples and oranges as perfect substitutes in his consumption, and MRS = 1 for all combinations of the two goods in his indifference map. Suppose the price of apples is €2 per pound, the price of oranges is €3 per pound, and Bob's budget is $24 per week. What is Bob's utility maximizing choice between these two goods? A. 12 pounds of apples and no oranges B. 8 pounds of oranges and no apples C. 4 pounds of oranges and 6 pounds of apples D. 12 pounds of oranges and no apples Fiona uses her entire budget to purchase food and clothing. The price of food is €1 per unit and the price of clothing is €2 per unit. Fiona's marginal utility from food is 2 and her marginal utility from clothing is 6. She currently spends all her money on food and clothing. Her objective is to maximise her utility. Which of the following statements is correct? Fiona should buy more food and more clothing. A. B. C. D. E. Fiona is currently maximsing her utility and should continue to consume her current…