16.12. Two consumers, Ron and David, together own 1,000 baseball cards and 5,000 Pokémon cards. Let xR denote the quantity of baseball cards owned by Ron and yR denote the quantity of Pokémon cards owned by Ron. Similarly, let xD denote the quantity of baseball cards owned by David and yD denote the quantity of Pokémon cards owned by David. Suppose, further, that for Ron, MRSRy = yR/XR, while for David, MRS"1y = yD/2xD. Finally, suppose xR = 800, yR = 800, xD = 200, and yD = 4,200. a) Draw an Edgeworth box that shows the set of feasible allocations in this simple economy. b) Show that the current allocation of cards is not economically efficient. c) Identify a trade of cards between David and Ron that makes both better off. (Note: There are many possible answers to this problem.)

(In this question we denote income by Y, not by W as in the lecture notes). The following figure shows the consumption of x and y for two market situations. We can conclude that: x is a normal good for all market situations. py is greater than px. It is not conclusive. x is an inferior good for some market situation. y is an inferior good for some market situation.

Amy and Barbara share an office. They put a scent diffuser in the middle of the room, and they need to buy essence oil (G) to make the office smell good. They each can also buy cookies (x) as their own snacks. Each of them has $15 to spend on essence oil and cookies. Amy and Barbara's utility functions are UA (TA, GA, GB) = x²(G₁+G³)² and uB (TB, GA, GB) = x³ (GA+GB)³, where A and B are Amy's and Barbara's individual cookie consumption, and GA and GB are respectively Amy's and Barbara's contributions in dollars for the purchase of the essence oil. Let the price of cookies be p = 1 and the price of essence oil be pg = 1. Thus, given G₁ and GB, G = GA + GB is the total amount the essence oil that will be purchased, what is the Pareto optimal amount of the total contribution of G ? C a. 15 C b. 10 c. They will be no difference between the individual decision and the Pareto optimal decision. d. 5

Beans and doughnuts: The consumer receives positive benefits from the consumption of beans (B) and donuts (K). Utility function of the consumer is the following: U(B,K) = 100∙B^0.25 · K^0.75 The price of beans (can) is ISK 2,000. but the price of a donut (box) is ISK 4,000. Consumption restrictions are placed on the consumer since his income is ISK 400,000. Put on all form donuts on the x-axis and beans on the y-axis. a) Show an equation for the bean's success rate for a single donut in light of the utility function. Draw the equivalence curve on a picture and explain what the equation is performance ratio is stated at each point on the equivalence curve. Explain with the concept of the efficiency ratio of the curvature of the equivalent curve. b) Find the most efficient consumption combination and draw on the diagram. c) The government decides to support the consumption of beans so its price drops to 1,000. Who is the most economical consumption combination based on the changed price…

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Two friends, Minrui and Jing, share a flat and both consume internet (i) and all other goods (g). The utility function for Minrui is U_m=i^(0.3)g^(0.7) whereas the utility function for Jing is U_m=i^(0.1)g^(0.9). Considering that the income of both individuals are the same $500 and that the prices are p_i = $80 and p_g = $5, what would be the optimal allocation of public good (i) and private good (g)? Interpret your answer.

Please refer to the following information to answer the question (in bold) below: You enjoy consuming apples (A) and oranges (O). Suppose that your utility function over both goods is given by Your marginal utility function for apples is . Your marginal utility function for oranges is U (A, O) = AO³ MUA = 0³ MUO 3A0² . Currently, the price of apples is $10/peck, the price of oranges is $5/pound, and your income is $160. Assume that apples are your horizontal axis good and oranges are your vertical axis good. = When you set up the optimal decision rule for your consumer problem, which of the following statements best describes how much you will buy of apples and oranges at your consumer equilibrium? For each peck of apples, you will buy 1/3 pounds of oranges. For each peck of apples, you will buy 1 pounds of oranges. O For each peck of apples, you will buy 3 pounds of oranges. O For each peck of apples, you will buy 6 pounds of oranges.

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Please provide full derivation, and 5. Casper consumes cocoa and cheese. Cocoa is sold in an unusual way. There is only one supplier, and the more cocoa you buy from him, the higher the price you have to pay per unit. In fact y units of cocoa will cost Casper y2 dollars. Cheese is sold in the usual way at a price of 2 dollars per unit. Casper's income is 20 dollars and his utility function is U(x, y)=x+2y, where x is his consumption of cheese and y is his consumption of cocoa. a. Sketch Casper's budget set and shade it in. b Sketch some of his indifference curves and label the point that he chooses. c. Calculate the amount of cheese and the amount of cocoa that Casper demands at these prices and this income.

Assume the market clearing price is $5.00 for deli sandwiches and the amount of exchange that would take place at that price is 200 deli sandwiches per day. You, however, don't have this information and have just opened your deli. You decide to price your sandwiches at $9.00 and are willing and able to sell 285 sandwiches per day at that price. When you do this, you notice you sell 100 sandwiches per day. Draw this situation on a graph and then explain what will happen in this market -- i. e., if there is a shortage or surplus, show this on the graph and then explain what the shortage or surplus will cause to happen in the market. Make sure you talk about inventories in your answer.