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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.…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 shirts23. 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 origin
- 1. How does a consumer’s optimal choice of goods change if all prices and the consumer’s income double? (Hint: focus on the budget constraint) 2. Output is produced according to a production process given by: Q = 4LK, where L is the quantity of labor input and K is the quantity of capital input. If the price of K is $10 and the price of L is $5, then what is the cost-minimizing combination of K and L capable of producing 32 units of output?11) Suppose there are two goods, X and Y, with X measured on the horizontal axis and Y measured onthe vertical axis. Which of the following statements about a budget line relating the two goods is correct? The budget line shows all the possible combinations of X and Y a consumer can buy given the level of income and prices. The budget line shows all the possible combinations of X and Y a consumer can buy given the level of income, prices, and borrowings. The budget line shows the most preferred combinations of X and Y a consumer can buy given the level of income and prices. The budget line shows the least-cost combinations of X and Y a consumer will buy given the level of income and prices.14) An Indifference curve slope down towards right since more of one commodity and less of another result in which of the following? A) Decreasing expenditure B) Maximum satisfaction C) Greater satisfaction D) Same satisfaction
- 14 : Assume that a consumer has a given budget or income of $10 and that she can buy only two goods, apples or bananas. The price of an apple is $2.00 and the price of a banana is $1.00. If the consumer decides to buy 4 apples, how many bananas can she also buy with the remainder of her budget, assuming she exhausts her income?1. Indicate which axiom(s) about consumer preferences imply(s) each of the following properties of indifference maps:A. Indifference curves do not intersect, that is, a basket can only be in oneset or indifference curve.B. Indifference curves have a negative slope.C. Each basket of goods is on some set or indifference curve.5. 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.8.Explain why convex preferences means that “averages are preferred to extremes. 9.If good 1 is a “neutral,” what is its marginal rate of substitution for good 2?12. What are the mathematical steps in deriving demand and indirect utility?