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- Title Suppose that Lynn enjoys coconut oil in her coffee. She has very particular preferences, and she mus Description Suppose that Lynn enjoys coconut oil in her coffee. She has very particular preferences, and she must have exactly two spoonfuls of coconut oil for each cup of coffee. Let C be the number of cups of coffee, and O be the number of spoonfuls of coconut oil. Also, let PC be the price of a cup of coffee. Suppose Lynn has $12 to spend on coffee and coconut oil. Also, the price of coconut oil is $.50 per spoonful.a) Graph Lynnâs Price Consumption Curve for prices, PC = $1, PC = $2, and PC = $3. Please put the number of cups of coffee on the horizontal axis, and the number of spoonfuls of coconut oil on the vertical axis. Be sure to label your graph carefully and accurately.b) Graph Lynnâs demand curve for coffee. You may assume that both coconut oil and coffee are continuous variables so she can consume any amount of coffee and coconut oil that she could afford.…which is the most preferred level of individual’s choice for public expenditure relating it with individual’s utility dependence, by considering three different groups? also draw the graph and intrepret it.Suppose Matt’s income is $120. He plans to spend it on two goods bread and avacado. Prices are: Pb = $4 per loaf of bread, Pa = $1 per avocado If Matt spends all his income on loafs of bread, how many does he buy? If Matt spends all his income on avocadoes, how many does he buy? If Matt buys 10 loaf of bread, how many avocados can he buy? Plot each of the bundles from parts A – C on a graph that measures avocadoes on the horizontal axis and loaves of bread on the vertical axis, connect the dots to find Matt’s budget constraint. Show what happens to the budget constraint if his income falls to $100, (prices do not change). Show what happens to the budget constraint if price of avocado rises to Pa = $2 per avocado, (income and price of loaves of bread did not change).
- 12)Suppose a consumer has $100 to spend on two goods, shoes and shirts. If the price of a pair of shoes is $20 per pair and the price of a shirt is $15 each, which of the following combinations is unaffordable to the consumer? A) 0 pairs of shoes and 0 shirts B) 2 pairs of shoes and 4 shirts C) 5 pairs of shoes and 0 shirts D) 0 pairs of shoes and 7 shirts E) 2 pairs of shoes and 3 shirts5. A consumer buys only two goods, X and Y. No other goods exist and there is no possibility of saving. The marginal utility of X is independent of the quantity of Y consumed, and the marginal utility of Y is independent of the quantity of X consumed. MUX is constant no matter how he consumes, but MUY falls as consumption increases. In the initial equilibrium he consumes one of each good. How much can you infer about the following:a.) The slope of the indifference curveb.) The curvature of the indifference curvec.) Whether the marginal utility of money is constant, rising, or falling as money income increases.d.) the income elasticity of demand for Ye.) The price elasticity of demand for X.4. Suppose a person has $8 to spend only on apples and bananas. Apples 1 cost $0:4 each, and bananas cost $0:1 each. Furthermore, his preferences for apples (A) and bananas (B) can be represented by U = pAB. a) If A = 5 and B = 80, what will utility be?b) If A = 10, what value of for B will provide the same utility in part a? c) If A = 20, what value of for B will provide the same utility in parts a and b?d) Graph the indi§erence curve implied by parts a through c.e) Give the budget constraint, which of the points identiÖed in parts a through c can be bought by this person?f) show through some examples that every other way of allocating income provides less utility than does the point identiÖed in part b. graph this utility maximizing situation.
- 23. Suppose that there are two goods in an economy and that all prices double. At the sametime, the consumer’s income triples, then:(a) The budget line becomes steeper(b) The budget line becomes flatter(c) The budget line does not change(d) The slope of the budget line does not change, but it makes a parallel shift in towardsthe origin(e) The slope of the budget line does not change, but it makes a parallel shift out fromthe originColumns 1 through 4 in the following table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are, respectively, $18, $6, $4, and $24 and that Ricardo has an income of $106. a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many dollars will Ricardo choose to save? c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule.Suppose U.S. drivers purchased $50 billion of ExxonMobil-produced gasoline during a recent year, with one-half purchased directly from ExxonMobil-owned gas stations and one-half from independent (or third-party) gas stations. Suppose further that ExxonMobil purchased the oil (which it refined into gasoline) from foreign producers for $20billion and that it receives 60 percent of the sales revenue that independent stations generate from selling ExxonMobil gasoline. In this case, the value added by ExxonMobil to U.S. GDP is $__billion.
- 22. Peanut butter (PB) sells for 10 dollars per pound and Oysters (O) sell for 50 dollars perpound. Suppose Pat buys 5 pounds of peanut butter and one pound of oysters each month.With this consumption bundle, his MRSP B,O = 3. Which of the following is true (assumingPat’s preferences satisfy all the basic assumptions of consumer theory)?(a) Pat could increase his utility by buying more oysters and less peanut butter.(b) Pat could increase his utility by buying more peanut butter and less oysters.(c) Pat could increase his utility by buying more peanut butter and more oysters.(d) Pat could increase his utility by buying less peanut butter and less oysters.1. What is the slope of the consumer’s budget line? Interpret economically.2. Graph the budget line showing all the different combinations of good ? (drawn on the horizontal axis) and good ? (drawn on the vertical axis) that can be bought given the consumer’s total income. In the graph, indicate the y-intercept and x-intercept of the budget line.A consumer has utility u(x,y,z)= ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pZ = 1 . Optimally sheconsumes 30 units of z. What is her income? How much money does she spend on x?(HINT: MUX =??, MUY =??, MUZ =??and remember the “equivalent bang for the buck” condition)(b) Forget about (a). Suppose you have t = 29 hours in total to spend on 3 projects X, Y and Z to make some money.If you spend x hours on project X, you make 2√? dollars;If you spend y hours on project Y, you make ?√? dollars;If you spend z hours on project Z, you make ?√? dollars;Writing down your “utility function” u(x,y,z) and the constraint, solve the utility maximization problem; what isthe optimal amount of time to spend on x ? on y? on z ?
