Name Exam #1 (answers) ECNS204 October 14, 2014
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1 Name Exam #1 (answers) ECNS204 October 14, ) (10 points) Jose and Chad have the following marginal value schedules for boxes of Hot Tamales. Jose has an initial endowment of 10 boxes and Chad has an initial endowment of 3 boxes. How many boxes of Hot Tamales will be exchanged and what are the gains from trade? Q MV(Jose) MV(Chad) No boxes of Hot Tamales traded. Zero gains from trade. 2.) (10 points) When the economics department recruits new professors, the department wants the current faculty to go to dinner with the visitors. It subsidizes this activity by reimbursing current faculty up to $20 per dinner with visitors. What effect does this have on the quantity of dinners current faculty will have with visitors, and on the quality of those dinners? Shipping the Good Apples Out problem -Quantity of dinners goes up. But, average quality of meals decreases because the relative cost of a high quality meal goes up.
2 3.) Penny is from the Pacific Northwest and has the following marginal value schedule for King salmon and Atlantic salmon (assume Penny only purchases one type of salmon, not a combination of the two) Q MVking MVatlantic a.) (5 points) At a price of $38, what is the quantity of King salmon that Penny demands? What is Penny s gain from being able to purchase King salmon at this price? QKing = 3 CS = $18 b.) (10 points) What would the price of Atlantic salmon have to be for Penny to be indifferent between purchasing King or Atlantic salmon? PAtlantic = $16
3 4.) A typical estimate for the elasticity of demand for Hot Tamales is -3. a.) (5 points) What does this say about peoples willingness to substitute to other types of candies? Substitute goods are readily available willingness to substitute is high. a.) (5 points) Due to a government subsidy program for sugar, the marginal cost of producing a box Hot Tamales has gone down. As a result, the price of a box of Hot Tamales has gone down from $1.50 to $1.00. What is the percent change in the quantity demanded? ε = %ΔQ/%ΔP -3 = %ΔQ/(-0.5/1.50) %ΔQ = 1.00 b.) (5 points) What happens to the total amount people spend on Hot Tamales? Show with a diagram (no diagram, no points and don t forget to label!) This graph should show a shift outward in the supply curve. Because demand is elastic, the graph should show TE increase after the supply shift.
4 Y 5.) a.) Suppose X is a normal good. Show this in the diagram below by drawing indifference curves tangent to the budget constraints and including the compensated budget line. In the space to the right, draw a separate diagram illustrating the compensated demand curve for good X and the standard demand curve for good X. Is the compensated demand curve steeper in slope or shallower in slope then the standard demand curve? bccomp Px B C B IC1 C A IC0 Px1 Px0 Dx Comp. Dx A bc1 bc0 X Qx Compensated demand curve is steeper in slope than standard demand curve a.) b.) Now, instead of assuming X is normal, assume X is inferior. Under this assumption, is the compensated demand curve for X steeper in slope or shallower in slope than the standard demand curve? Support your answer with two graphs: an indifference curve + budget constraint diagram for an inferior good; a graph illustrating the compensated demand curve for X and the standard demand curve for good X. Here, point B needs to be drawn to the right of point C. As a result, the compensated demand curve when X is inferior is going to be shallower than the standard demand curve.
5 6.) Suppose the government is considering implementing a per unit tax on sellers in either the market for peanut butter or the market for cigarettes. The government prefers to implement the tax in the market where consumers will bear a relatively larger tax burden than producers. Given this goal, which market should the government tax? Why have you chosen this market? Support your answer with a diagram for the market you have chosen. That is, in a supply/demand diagram, show that the share of the tax burden shouldered by consumers is larger than the share of the tax burden shouldered by producers. In your graph make sure to label the market clearing price, the price consumers pay under the tax, the price producers receive under the tax, and the dead weight loss. P Stax S Producer tax burden Pc P* Pp Consumer tax burden DWL D Qcigarettes Because the demand for cigarettes is likely much more inelastic, we should choose to tax this market. Consumers bear a relatively larger tax burden in the case of cigarettes because they have fewer goods to substitute towards than in the case of peanut butter.
6 7.) The demand curve for heroin for some unit does is: MV $ Q a. (5 points) The current price of heroin is $30. Calculate the demand elasticity at this price. Is the demand elastic or inelastic at this price? ε = {(19-18)/18}/{(20-30)/30} = -1/6 (inelastic) b. (10 points) Suppose you are a consultant to the Drug Enforcement Agency. They are planning on increasing efforts at drug interdiction at our borders, in order to decrease the available supply of heroin. What consequences of this policy might you point out to them, in particular, its effect on drug-related crime? (Hint: Saying that because the supply of heroin is decreased and, as a result, the price of heroin rises is not a sufficient enough answer) Drug-related crime may actually rise because TE will increase (due to inelastic demand) after the supply shift.
7 8.) (10 points) Suppose Alfred earns $10/hr. and at this wage he chooses to work 10 hrs./day. Now, suppose that Alfred has received a raise to $15/hr. Will Alfred choose to work more or fewer hours per day under this higher wage rate? Or, given this information, is it not possible to tell whether he will work more or less? What does your answer depend on? Support your answer with an indifference curve and budget constraint analysis. Your graph should show the standard income and substitution effects. We do not know whether Alfred will work more or fewer hours under the higher wage rate. The answer depends on the relative magnitudes of the income and substitution effects.
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