Suppose that the price of good X is $10, the price of good Y is $20, and our income is $100.
a. What is the maximum amount of good X you can buy? What about good Y?
b. Write down your budget constraint and solve it for Y.
c. Sketch a graph of your budget constraint.
Suppose that the price of good X is $10, the price of good Y is $20,...
2) Suppose that the price of good X is $2 and the price of good Y is $3. You have $90 to spend and your preferences over X and Y are defined as: U(x,y) = x2/3y1/3 Keep in mind that we review this concept because consumer choice is based on their preferences. People demand items that fulfill their Utility (perhaps happiness). As a result, we need to visualize how an individual’s budget is allocated to create the highest level...
Рx Sketch the following budget constraints: Income S20 $1,000 $40 $50 $1,000 $20 $100 $1,000 $20 $50 $2,000 $0.25 $0.25 $7.00 $0.251 $0.50 $7.00 $0.50 $0.25 $7.00 HINT: a. For these problems, graphing is as simple as determining how much of each good X and Y you can buy by dividing your income by the price of each. For a., you can buy 50 of good X because income/Px $1000/20 = 50. Along the same lines you can buy $1000...
Problem . Apu receives utility from consuming X and Y. The price of good X is S2 and the price of good Y is S6. Apu's income is S12 (a) Graph Apu's budget constraint (b) If Apu's utility function is U(X, Y)-X+4Y, how much X and Ywill he buy? (e) How will your answer change if U(X, )-X + 3Y?
4. Suppose that a consumer faces the choice of how many left shoes to buy and how many right shoes to buy if the price of a shoe is $20 and the consumer has $200 to spend on shoes. (20 points in total) a. Write down the consumer's budget constraint, assuming that we will measure left shoe consumption on the X axis and right shoe consumption on the Y axis. (5 points) b. Sketch a graph of the budget constraint....
U(x, y) = x^2 + y. The price of good x is $10, and the price of good y is $1. If Ambrose’s income is $200, how many units of good x would he consume if he chose the bundle that maximizes his utility subject to his budget constraint?
Suppose the price of Good X is $4 and the price of Good Y is $3. If a consumer has a Marginal Rate of Substitution (MRSxy) of 2 for the bundle they are considering, then given their budget constraint, the consumer... Select one O a. Cannot reach a higher level of utility given their budget constraint. Ob. Would have a higher utility if they bought more of Good X. c. Would have a higher utility if they bought less of...
A consumer has the utility function U(X, Y) = (X + 2)(Y + 4). Her income is $100, the price of X is $4, and the price of Y is $5. In order to maximize utility subject to her budget constraint, how many units of X and Y will our consumer choose to purchase? Sketch a budget line – indifference curve diagram illustrating this optimum. Label this optimum A. Suppose the price of X increases to $8, while income and the price...
Suppose that a there are two goods, X and Y. The price of Good X is $5 and the price of Good Y is $8. The seller of Good X offers a deal where if a consumer buys 1 unit of Good X they pay full price, but the second unit of Good X is only $2. Calculate the slope of the budget constraint between 1 unit of Good X and 2 units of Good X. (Remember to include a...
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2. (20 points) Suppose a consumer has $250 to spend on two goods, Good X and Good Y. The price of Good X is given by Py = $10. The price of Good Y is given by Py = $25. Graph the consumer's budget constraint. Please put the quantity of Good X on the horizontal axis, and the quantity of Good Y on the vertical axis. Be sure to label your graph carefully and...
Good Y Good X The diagram above shows a budget constraint on Good X and Good Y. Point A is the original optimal bundle. Suppose Good X is an inferior good and the price of Good Y increases, draw the new budget constraint. Would the income effect increase or decrease the consumption on Good Y? Would the substitution effect increase or decrease the consumption on Good Y? If the substitution effect is larger than the income effect, indicate the new...