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Principles of Economics EC 201 Cal Poly Pomona Fall, 2007 Dr. Bresnock Name: Section/Time: Markets Module Assignment Answers (50 points) Please limit your answers to the spaces provided. If necessary, write on the back of the page. Do not attach printout or additional pages. All questions pertain to the Markets module in the SimEcon software package. Make sure you have read the “Markets Manual” which may be found at the ClassWeb site prior to beginning the assignment. For many of the assignment's questions, it will be necessary to refer to those instructions. For many of the assignment's questions, it will be necessary to refer to your text. Please use this website to obtain the module: http://class-ms-web.class.csupomona.edu/ To begin the assignment, launch the Markets module and note the “original conditions” which are the beginning values for each supply and demand variable. Write these values down for future reference. Now, click on “Continue” in the tool bar at the top of the screen. Write down the initial equilibrium values for the price, Pe, and quantity, Qe, of wheat. (1) Disturb the wheat market by increasing the price of corn from $10/bushel to $12/bushel. For this market disturbance: (a) Write a brief statement explaining how the market responds to this disturbance. (Be sure to include distinctions between changes in demand vs quantity demanded and changes in supply vs quantity supplied.) You must print out the graph and label all distinctions and market adjustments in it. Write the statement in the space below and attach the graph to the back of this page. Corn and wheat are substitutes. If the price of corn goes up, people will buy more wheat, which will increase the demand for wheat. This will increase the equilibrium price of wheat from $23.39 to $23.49 and will increase the equilibrium quantity from 869.59 bushels to 874.59 bushels. The market adjusts to the increase in Demand as shown on the graph on the next page. The market adjustment process is as follows: (1) (2) (3) (4) The increase in demand is indicated by the movement from D1 to D2. This creates a temporary shortage, (QD > QS), which is indicated by the distance from Pt. A Pt. B. This shortage causes the price to rise to the new equilibrium price PE2 at Pt. C. This increase in price also causes the quantity supplied to increase to the new equilibrium quantity QE2. EC 201 Markets Module Assignment Answers Page 2 Price S C PE2 A B PE1 D2 D1 QE 1 (b) QE2 QD Quantity Compare the old equilibrium price and quantity points and calculate the price elasticity between those points. You must include a complete calculation and interpretation of this price elasticity in the space below. (869.59 – 874.59) (869.59 + 874.59) / 2 (23.39 – 23.49) (23.39 + 23.49) / 2 = 1.34 This is elasticity of supply. The elasticity of supply indicates that for every 1% increase in price, there is a 1.34 % increase in quantity supplied, and vice versa. (2) Fill in the table below which is based on your record of price and quantity information in the wheat market as the amount of rainfall is changed (by you). (Base your elasticity calculations on the increases in the price of wheat as rainfall is reduced from 18 inches, then from 16 inches to 10 inches, etc.) (Round all of your entries to the nearest hundredth). Market Disturb. Price Quantity Total Revenue Rain = 18 $14.06 962.92 $13,538.655 Rain = 16 $16.39 939.59 $15,399.880 -0.160 Rain = 10 $23.39 869.59 $20,339.710 -0.220 Rain = 08 $25.73 846.25 $21,774.012 -0.286 Elasticity EC 201 Markets Module Assignment Answers (a) Page 3 Review your results and briefly interpret your elasticities in the space below These are computations of the price elasticity of demand. The Law of Demand indicates that this type of elasticity will always be negative, which is the case here. Since the absolute values of all the elasticities are between 0 and 1, we can say that demand is inelastic over the range of prices indicated. For example, the first elasticity indicated, -0.160, indicates that for every 1% increase in price, there is a 0.160% decrease in quantity demanded, and vice versa. The second elasticity indicated, -0.220, indicates that for every 1% increase in price, there is a 0.220% decrease in quantity demanded, and vice versa. The third elasticity indicated, -0.286, indicates that for every 1% increase in price, there is a 0.286% decrease in quantity demanded, and vice versa. (b) Now provide a brief discussion of the relationship between the changes in price, and your calculations for total revenue and elasticity in the space below. In this discussion, comment on whether your interpretation agrees with the coverage of this relationship found in your text and class lecture notes. Economic theory states that when the absolute value of the price elasticity of demand is between zero and one, total revenue will increase as the price increases. This is the case in the example provided. As the rainfall is reduced, the equilibrium price goes up (due to a decrease in supply). This increase in the equilibrium price raises the total revenue to the producer. This is because the decrease in quantity is proportionately less than the increase in price. (3) What are the ceteris paribus supply and demand conditions in the Markets module? Your answer should first contain a definition of what is meant by ceteris paribus and what that means in this model of the wheat market. A complete answer will include verbal and numerical explanations in the space below: Ceteris paribus means that all other factors other than the one being studied are held constant. We do this in order to isolate the effects of the factor being studied. The demand conditions that are held constant are as follows: (1) income of buyers ($5 trillion); (2) prices of substitute goods (Price of corn = $10/bushel); (3) prices of complement goods (Price of utter = $4/lb.); (4) number of buyers; (5) tastes and preferences. The supply conditions that are held constant are as follows: 1) availability and cost of factors of production (Seed cost = $10/lb.); 2) number of sellers (1,000) and; 3) the state of technology. EC 201 Markets Module Assignment Answers Page 4 If one of these factors is not held constant, then the entire curve will shift. For example, in the last question, supply shifted to the left (supply decreased) as the rainfall was decreased. This is because as rainfall decreased, the cost of a factor of production, moist land, increased. This is indicated in the graph below: S2 P S1 P2 P1 D Q2 Q1 Q Restart the “Markets Module”. (4) Choose an “effective” price ceiling. Write the value of your price ceiling here $22 (for example) . Offer a complete explanation of why your price ceiling is “effective” and the complete quantitative and qualitative results of this price regulation in the space below. Include a completely specified graph in your answer. In order to be effective, a price ceiling must be below the equilibrium price. Thus, any price below $23.39 would be effective. If the price ceiling was equal to or above the equilibrium price, then buyers and sellers would just remain at equilibrium. In this case, the ceiling would have no effect on the market. When an effective price ceiling is imposed, this forces a price below equilibrium. The quantity demanded will be greater than the quantity supplied, which creates a shortage. This is indicated as the distance from Pt. A to Pt. B in the graph on the top of the next page. I chose a price of $22.00. This leads to a legal price of $22, an illegal price of $30.35, a quantity supplied of 800, a quantity demanded of 883.50, and a shortage of 83.50. See work below (the equation is from the Markets Manual). Farmers’ revenue is $17,600 and criminals’ profits are $6,680. QD = 1000 – 10(PW) + 3(PC) -.5(PB) + .3(Pop) + .10(Inc) = 1000 – 10(22) + 3(10) -.5(4) + .3(250) + .10(5) = 983.5 – 800 = 83.5 = Shortage = AB (See Graph on top of next page). EC 201 Markets Module Assignment Answers Page 5 The misallocation of resources is found by comparing the quantity supplied of 800 with the equilibrium quantity of 869.59. This difference of 69.59 units represents the misallocation of resources of too little produced at the price ceiling. Price At PC there is a shortage of QD – QS = 83.5 QD – QS = 883.5 – 800 = 83.5 S PE A $22 B D Quantity 0 QS QE QD Misallocation of Resources (5) Now change your price regulation by imposing a price floor of $35. Is this “effective”? Why or why not? Your answer must include quantitative and qualitative results of this price regulation in the space below. Include a completely specified graph in your answer. Does this sort of wheat price regulation agree with current U.S. farm policy? Why or why not? (a) In order to be effective, a price floor must be above the equilibrium price. If a price floor was equal to or below the equilibrium price, then buyers and seller would just operate at equilibrium and the floor would have no impact on the market. Since $35 is above the equilibrium price of $23.39, it is effective. When the price floor is enacted, buyers and sellers will be forced to operate at a higher price than would clear the market. Quantity supplied would be greater than quantity demanded, so there will be a surplus. This is indicated in the graph below. The amount of surplus is indicated by the distance from Pt. A to Pt. B in the graph below: Price $35 A S B PE D 0 753.5 QE 1450 Quantity EC 201 Markets Module Assignment Answers Page 6 A price floor of $35 would lead to a quantity demanded of 753.50, a quantity supplied of 1450, and a surplus of 696.5. Farmers’ revenues would be $1,450, because the government would buy up all the surplus produce. The misallocation of resources is found by comparing the quantity supplied of 1,450 with the equilibrium quantity of 869.59. This difference of 580.41 units represents the misallocation of resources of too much produced at the price floor. This type of regulation has been more typical of U.S. farm policy. Although U.S. farm policy usually tried to increase the price by paying farmers not to grow (quantity regulation), the U.S. government also achieved the same end by setting minimum prices (price floors or price supports). The recent Freedom to Farm Act (1996) ended price supports to grains, including wheat. During the transition away from the past subsidy programs, the government is following a declining subsidy payment plan. (b) Suppose that the government wished to achieve the same result with a production control as the result you achieved with the price floor of $35. What would that production control be and why? Explain your answer briefly in the space below. Include a completely specified graph in your answer. Does this sort of wheat price regulation agree with current U.S. farm policy? Why or why not? To achieve a price of $35 by controlling production, the government would limit production to 753.50 units. With only this amount produced, buyers would be willing to spend $35 for it. This would be indicated as a vertical supply line at 753.50 units in the graph above. This is very typical of U.S. farm policy. The government maintains an artificially high price by controlling production. If you hear people complaining about the government paying farmers not to grow, this is why. It is due to the powerful farm lobby that elects two senators from each rural state.