QUESTION 7 Assume the following is the budget equation for Courtney who spends her income between music concerts and movies: 86 Music Concerts + 85 Movies = 7216 If Music Concerts are measured on the vertical axis, what would be the slope of the budget line ?
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- Question 6 Burritos 9 8 7 6 5 4 3 2 1 1 3 4 5 6 7 Assume Kerri's budget constraint is represented in the graph shown. If Kerri's income to spend on these two items increases, her budget constraint will: shift in, maintaining the same slope. shift out and become flatter. shift out and become steeper. shift out, maintaining the same slope. OOOO Salads 23 Question 11 Suppose a consumer's utility is given by: u(x1, x2) = axı + bx₂ Where a= 63, and b = 22 If the price of good 1 is P₁ =$57/unit, the price of good 2 is P2 -$37/unit, and income is I = $423, what is this consumer's optimal consumption level of good 1? (Note: The answer may not be a whole number, so round to the nearest hundredth) (Note: The numbers may change between questions, so read carefully) Question 122. Utility maximization - Trading off labor and leisure The indifference curves on the following graph show Amy's preferences for leisure and consumption for increasing levels of utility, such that her utility increases in both consumption and leisure. Assuming that Amy spends 68 hours each week sleeping, she has a maximum of 100 hours available to her for leisure if she does not work at all. Initially, she works 45 hours (and thus has 55 hours of leisure) and earns $250 per week. Use the grey point (star symbol) to indicate Amy's initial leisure/consumption bundle. Dashed drop lines will automatically extend to both axes. ? CONSUMPTION (Dollars per week) 1000 900 800 700 600 500 400 300 200 100 0 0 10 20 30 40 50 60 70 80 LEISURE (Hours per week) 90 100 110 Initial bundle $200 Unemployment Benefits Equivalent Bundle, $100 Unemployment Benefits Equivalent Bundle Now, suppose that Amy is laid off, but she is eligible to collect unemployment benefits of $200 per week. Use the black point…
- 1 The Law of Diminishing Utility: For example, I consume too many apples. Until I eat the fifth one, I start getting sick of it so the net total utility is starting to fall. I park in a car park and when I park there for 6 hours, it is getting more expensive so I prefer to leave early. Is this an example of diminishing utility?) Suppose there are two goods, X and Y. The price of good X is $5, the price of good Y is $3, and your income is $60. Neatly graph your budget line and label the intercepts. (a) What is the slope of your budget line? (b) How many units of good Y do you give up per unit of good X? (c) Suppose the price of good X rises to $6, show what happens to the budget line and label any new intercepts. (d) What is the new slope of the budget line? How many units of good Y do you now give up per unit of good X? (e) Suppose the price of good X only rises to $6 once you have purchased six units of good X. In other words, it is $5 per unit for the first six units and $6 per unit thereafter. Make a new graph of this "kinked" budget constraint.5) Consider indifference curves for the consumption of milk and chocolates (you may assume that both are 'goods'). The indifference curves are drawn with the number of chocolate bars on the horizontal axis and pints of milk on the vertical axis. Suppose that at every point, consumer A's indifference curve is flatter than consumer B's. What can you conclude about consumers A and B tastes and preferences?
- 7) A consumer has to choose the optimal amount of cheese and crackers to purchase. He or she has drawn his or her budget constraint (BC) and indifference curves on a graph with the amount of cheese (in ounces) on the horizontal axis and the amount of crackers (in packages) on the vertical axis. Which of the following statements is true if the price of crackers declines? The BC shifts to the left (down). The BC shifts to the right (up). The BC rotates such that it intersects the horizontal axis at the same point as before and intersects the vertical axis at a lower point. The BC rotates such that it intersects the horizontal axis at the same point as before and intersects the vertical axis at a higher point.Questions 4 (Choice & Demand). Suppose a consumer's utility function is given by: U(xi, x2 ) = x" a) What is the consumer's demand for x, as a function of income and prices? What is the consumer's demand for x; as a function of income and prices? Use Lagrange method or your intuition. b) What percentage of income does the consumer spend on x;? What percentage of income does the consumer spend on x2?5. Suppose the representative consumer has the (quasilinear) utility function: U(x, y) = ax + In(v) where x,y are consumption goods. Denominated in US dollars, the prices of x and y Pi and pz, respectively. (a) What does the term quasilinear mean? Is consumption of x independent of y? (b) Assume the consumer has a budget of C dollars at his/her disposal. What is the maximum utility the consumer may achieve with this budget? (c) What is the minimum expenditure if the consumer wants to derive U,units of utility?
- 3. A consumer's indirect utility function is given by V (p, y) = f(p)y. (a) What is the form of this consumer's expenditure function? (b) What kind of preferences does this consumer have?3. Based on each scenario in this question, indicate whether the following statements is true or false, and briefly explain your reasoning. You may also want to use a graph in your explanation if you think it's necessary. a) Mike makes $500 per week and spends all her income on books and tea. Books cost $25 each, and Mike buys 16 each week. Tea costs $5 per cup, and Mike buys 20 cups. When Mike's income falls to $450 per week, he cuts his consumption of books by 3 books and purchases 5 more cups of tea. Based on Mike's consumption behaviors, books are an inferior good and Tea is a normal good. b) Lucy consumes food and clothing. For incomes near her current income, her income expansion path is negatively sloped. Assume that food is measured along the horizontal axis and clothing is measured along the vertical axis. Therefore, at current income levels, both food and clothing must be inferior good. c) For any normal goods, the income and substitution effects work in the same direction.…2. Utility maximization - Trading off labor and leisure The indifference curves on the following graph show Amy's preferences for leisure and consumption for increasing levels of utility, such that her utility increases in both consumption and leisure. Assuming that Amy spends 68 hours each week sleeping, she has a maximum of 100 hours available to her for leisure if she does not work at all. Initially, she works 45 hours (and thus has 55 hours of leisure) and earns $250 per week. Use the grey point (star symbol) to indicate Amy's initial leisure/consumption bundle. Dashed drop lines will automatically extend to both axes. CONSUMPTION (Dollars per week) 1000 900 800 700 600 500 400 300 200 100 0 0 + 10 20 30 40 50 60 70 80 LEISURE (Hours per week) 90 U3 100 110 Initial bundle + $200 Unemployment Benefits Equivalent Bundle, $100 Unemployment Benefits Equivalent Bundle ?