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- Suppose you had a budget of $20.00 and the prices of a burger and a slice of pizza are $5.00 and $2.00respectively. What would be your optimal consumption bundle5) Marie-Antoinette has preferences for consumption of pots of tea (x) and slices of cake (y) that can be represented by the utility function U(x, y) = min (6x, 2y). How many slices of cake will she consume if a pot of tea costs $6, a slice of cake costs $4, and she has $54 of income (choose the closest answer)? a. 3 b. 1 c. 9 d. 6 e. 4 2A person has $25 to spend on apples, bananas, and cherries. Their respective prices are $2, $3, and $4 per lb. If the person buys x lbs of apples, y lbs of bananas, and z lbs of cherries, what is the budget constraint (assuming all money is spent)?
- Suppose Jane has $100$100 and is going to have a birthday party. She wants to order pizza and sushi. The price of a pizza is $6$6, and the price of one package of sushi is $8$8. Considering that she decided to spend $60$60 on pizza, how many pizzas and packages of sushi can Jane order? Enter your answer in the box below and round down to the nearest whole number if necessary; rounding your answer up may cause Jane to exceed her budget.2. Tom spends all his $100 weekly income on two goods, apples and bananas. His utility function is given by U (A, B) = AB, where A and B stand for the quantity of apples and bananas consumed by Tom. If PA = $4 and PB= $10, how many apples and bananas will he consume? Make sure you write out the utility maximization problem explicitly, including the decision variable(s). What if his utility function is given by U (A, B) = A0.5B 0.5?You are choosing between two goods, X and Y, and your marginal utility from each is as shown in the table below. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? What total utility will you realize? Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? Using the two prices and quantities for X, derive a demand schedule (price–quantity-demanded table) for X.
- You are choosing between two goods, X and Y, and your marginal utility from each is as shown in the following table. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? What total utility will you realize? Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? Using the two prices and quantities for X, derive a demand schedule (a table showing prices and quantities demanded) for X.Remy and Emile consume only cheese (x,) and strawberries (x2). Remy's preferences are described by UR = min{xf, 2x5}while Emile's preferences are described by UE = xf + x5 . Remy has 8 pieces of cheese and 1 pint of strawberries while Emile has 4 pieces of cheese and 3 pints of strawberries. (a) Draw an Edgeworth box with x, on the horizontal axis and x, on the vertical axis. Position Remy on the bottom left corner and Emile on the top right corner. Indicate the total number of units of x, and x2. Label the endowment allocation. Show Remy's and Emile's indifference curves. (b) Derive the equation of the contract curve. In your graph in (a), draw the contract curve. (c) Set x1 as the numeraire, i.e., assume p, = 1 and p2 = p. Find the competitive equilibrium. Hint: For Emile to consume at a Paretoefficient allocation, what should the prices be? (d) Redraw the Edgeworth box. Indicate the equilibrium allocation, e. Draw the equilibrium budget line.All goods have diminishing marginal utility, but for some goods (or activities), marginal utility falls quickly as you consume more, while for others, marginal utility falls slowly. Can you think of examples of goods that you continue to enjoy a great deal as your consumption increases? Can you think of goods for which your marginal utility decreases rapidly?
- Assume someone has a utility function of U = Min[3X, Y]. They currently have 8 units of X and 3 units of Y. The price of X is $12 and the price of Y is $3. If this person could sell some units of X and/or Y what level of utility could they achieve?A student has a monthly budget of $120 to spend on either burrito, which cost $6 each, or sodas, which cost $4 each.Draw the student's budget constraint. Put burritos on the x-axis and sodas on the y-axis. Which combinations of burritos and sodas are unaffordable--those to the left of the line in the graph or those above the line in the graph? Why? Which combinations would leave some budget unspent - those to the left of the line in the above graph or those to the right of the line in the above graph?The budget set, or budget constraint, in the graph shows the possible combinations of brownies and ice cream cones that can be purchased. Assume that this person has a total of $18 to spend on brownies and ice cream cones. How much does a brownie cost? $ Assume that at point A, the marginal utility from a brownie is 10 and the marginal utility for an ice cream cone is 18. This person should consume more brownies and fewer ice cream cones. is utility maximizing. should consume more ice cream cones and fewer brownies.
