1. If the utility function is U(x1, x2)U(x1,x2) given the budget constraint p1x1 + p2x2 < = M. 2. For the following utility function U(x1,x2)U(x1,x2), when p1 = 10, p2 = 5, and M = 200, determine the equilibrium quantity demanded for both goods.
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- The question is in the attached image. Thank you!a)Assume that the typical consumer always spends a small share of her overall budget on Vietnamese meals and use the utility maximization conditions to find the demand for Vietnamese food of the typical consumer (keep in mind that since utility is quasi-linear, you can find demand without information about the consumer’s weekly budget). b) Sum across consumers to find the weekly market demand for Vietnamese meals in NYC.Consider a consumer whose utility function is (screenshot) Assume the consumer has income $120 and initially faces the prices px=$1 and py=$1. How much x and y would they buy? Draw the budget constraint and the demands.
- Question is in attached image, Thank you!5) for y. U(x, y) = x0.5 + y Pxx+Pyy = 1 Use the above utility function and budget line to find the demand curve equation for x andAnna has an income of 1000 euros and utility function U(x,y)=x²y³. The prices of the two goods are P₁=5 and Py-20. a) Define the budget constraint and represent it graphically. (
- Carla has utility function U(x, y) = vx + 2y over goods x and y a) Do we have a name for this type of utility function? Are Carla's preferences well-behaved? b) Let Carla have budget I=$40, and let prices be Px=$2, Py=$8. What bundle will Carla consume? c) What if Carla's budget drops to $20? [Think about: could this utility function describe Carla's preferences over bread and ice cream?]Consider the utility function U(x,y) = xy, which describes the enjoyment Emi gets from consuming tacos (x) and sandwiches (y) over a period of 1 week. a) Does Emi like both tacos and sandwiches? Does she like variety? b) Let Emi have budget I=$24, and let prices be Px=$2, Py=$4. Find Emi's optimal basket of goods x and y. Is this an interior or a corner solution? c) What will happen if tacos (good x) go on sale for $1? Find the new optimal bundle.Biwei’s utility function U=4XY, where X is consumption of beer and Y is consumption of pizza. For this utility function, the marginal utility of X is MUx = 4Y; the marginal utility of Y is MUY = 4X. 1) Suppose Y = 3. Calculate Biwei’s utility for X = 2, 3, 10, and 11. For a given level of Y, does good X display diminishing marginal utility? 2) Suppose X = 3. Calculate Biwei’s utility for Y = 2, 3, 10, and 11. For a given level of X, does good Y display diminishing marginal utility?
- 1. John spends PLN 60 per week on two goods: x and y. The price of good x is PLN 2 and the price of good y is PLN 6. The utility function is: U(x, y) = x² + y a) What quantities of products x and y does he purchase each week at equilibrium? b) What will happen if Piotr's income increases by PLN 6 per week? What will be the new demand for x and y?45.5 Suppose the utility function for goods x and y is given by utility = U(x, y) = xy + y. a. Calculate the uncompensated (Marshallian) demand functions for x and y, and describe how the demand curves for x and y are shifted by changes in I or the price of the other good. b. Calculate the expenditure function for x and y. c. Use the expenditure function calculated in part (b) to compute the compensated demand functions for goods x and y. Describe how the compensated demand curves for x and y are shifted by changes in income or by changes in the price of the other good.Suppose there are two goods, x and y. If one good has a negative price, and the other good has a positive price, then the slope of the budget constraint will be positive. is this true or false?
