3. Ma consumes two goods: beer and beer nuts. Her utility function is Ma has a...
4. Malachi only consumes 2 goods: DVD rentals and coffee. His utility function is U(RC)-Rº4CO6 where R is the number of DVD rentals and C is cups of coffee. Malachi has $30 in his pocket right now, and he plans to spend all of the money on rentals and coffee today. a. The price of one rental is $3 and the price of one cup of coffee is $2 per cup. Solve for the optimal bundle. b. Suppose that Malachi...
4. Malachi only consumes 2 goods: DVD rentals and coffee. His utility function is U(R,C)=R0.4C0.6 where R is the number of DVD rentals and C is cups of coffee. Malachi has $30 in his pocket right now, and he plans to spend all of the money on rentals and coffee today. a. The price of one rental is $3 and the price of one cup of coffee is $2 per cup. Solve for the optimal bundle. b. Suppose that Malachi...
Sally consumes two goods, X and Y. Her preferences over consumption bundles are repre- sented by the utility function r, y)- .5,2 where denotes the quantity of good X and y denotes the quantity of good Y. The current market price for X is px 10 while the market price for Y is Pr = $5. Sally's current income is $500. (a) Write the expression for Sally's budget constraint. (1 point) (b) Find the optimal consumption bundle that Sally will...
Brian works in a factory and spends his monthly income on Beer and Pizza. The utility function U(X,Y) = X0.5y0.5 represents Brian's preference. Here, X is the quantity of beer, and Y is the quantity of pizza. Assume the numbers of beer and pizza do not need to be integers. Brian's monthly income is $100, the price of pizza is $4, and the price of beer is $2. a) Find the optimal consumption bundle for Brian. (Bundle A) b) The...
Linda consumes only two goods, x and y. Her utility function ? = ??. The initial price of x is $9 and the price of y is $1, and her weekly income is $72. Suppose that the price of x subsequently drops to $4. a) Find the initial consumption basket A when the price of x is $9. b) Find the final consumption basket C when the price of x is $4. c) Find the decomposition basket B. d) Find...
(38pts) Suppose a consumer spends all of her income on only two goods, z and y. Her preferences over these two goods are represented by the utility function u(r,y) min(, 4y). The price of good y is given to be S8. Her income and price of z are represented by m and ps, respectively. (a) (10 pts) Find the demand for good z as a function of m and pa. (b) (5 pts) Is good z ordinary or Giffen good?...
Jon Snow consumes pizza and burgers. His utility function is u(P, B) = PB where P is the number of pizzas and B is the number of burgers. Jon Snow has $30 to spend, and he plans to spend it all on pizza and burgers. The price of one pizza is $10 and the price of one burger is $3. (a) Find and label Jon Snow’s initial optimal bundle on a graph where pizza is on the x-axis and burgers...
10. Janif consumes two goods (Good A and Good B). The utility function is represented as follows: ? = ?(?, ?) = 40?^0.5?^0.5 . The price is good A is $20 and price of good B is $5. Janif earns a weekly income of $600 and does not save. Solve for optimal consumption bundle for Janif using Lagrangian multiplier method. Show all working. 11. Jone consumes apples (A) and oranges (O). His utility function is as follows, ?(?,?) = ?^2?^2....
Aaron consumes only 2 goods: avocados (a) and bread (b). His utility function is U(a,b)=ab, with MUa=b and MUb=a. The price of avocados is $4 and Aaron’s income is $24. He spends his entire income on his current consumption bundle of two avocados and eight loaves of bread. a) What is the price of a loaf of bread?
Anna spends all her income on wine (good 1) and cheese (good 2). Her utility function is u(x1; x2) = x1x2. Her income is m = $200. The prices for the two goods are p1 = $20 and p2 = $10 respectively. Find Annaís optimal consumption bundle. Show the complete calculations, and illustrate your answer graphically (draw the indi§erence curve and the budget constraint). How would your answer change to part (a) if Annaís utility function were given by v(x1;...