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- Suppose you are an aid to the Odododiodo Member of Parliament who is concerned about the impact of a new tax on the welfare on his constituents. You have explained to him that one of the ways he can determine the impact is to calculate the price elasticity as well as the consumer surplus. Conduct a formal analysis by undertaking the following exercises when the demand and supply functions for the goods in question are given as Qd=500-5p and Qs=2p-60 a. Sketch the supply and the demand curves.b. Calculate the equilibrium price and quantity.c. If government imposes a tax of ¢2 on this commodity, calculate the new price and quantity afterthe imposition of the taxd. Calculate the consumer surplus before the taxe. Calculate the own price elasticity of demand before the imposition of the tax.Use the following general linear demand relation: Qd = 680 - 9P + 0.006M - 4PR where M is income and PR is the price of a related good, R. From this relation it is apparent that the good is: an inferior good a substitute for good R a normal good a complement for good R both a normal good and a complement for good RSuppose Jolene buys apples weekly. If the price of apples were to drop, Jolene would experience in . a decrease an increase a decrease an increase a decrease total revenue consumer surplus her budget constraint marginal utility willingness to pay Suppose the government levies a tax of $0.50 per pack on the buyers of cigarettes. Suppose also that the price elastic- ity of demand for cigarettes is 1.2 and the price elasticity of supply is 0.7. Because this tax is levied on the sale of a specifi c good, it is an excise tax. a progressive tax. a regressive tax. a proportional tax. a lump-sum tax. After this tax is levied, total surplus will , and the price received by producers (not including the tax) will . increase decrease increase decrease increase increase by exactly $0.50 fall by exactly $0.50 fall by less than $0.50 fall by less than $0.50 increase by more than $0.50 If economists were to study the tax incidence in this cigarette market, they would…
- The weekly demand for Kelewele among the 2018 batch of MBA students at UPSA is Qdx = 900 – 10Px + 0.2I + 5Py – 4Pz, Where Qdx is the quantity demanded of Kelewele, Px is the price of Kelewele per lb, I is the consumer income in Ghana Cedis, Py and Pz are the prices of two goods that are related to Kelewele Required: (a) Based on the demand function above, what is the relationship between Kelewele and good Z? (b) What is the equation of the demand curve if consumer incomes are GHȼ 40, the price of good Y is GHȼ 20 and the price of good Z is GHȼ 27? (c) Graph the demand function for Kelewele from (b)The weekly demand for Kelewele among the 2018 batch of MBA students at UPSA is Qdx = 900 – 10Px + 0.2I + 5Py – 4Pz, Where Qdx is the quantity demanded of Kelewele, Px is the price of Kelewele per lb, I is the consumer income in Ghana Cedis, Py and Pz are the prices of two goods that are related to Kelewele Required: (a) Based on the demand function above, is Kelewele a normal good or an inferior good? (b) Based on the demand function above, what is the relationship between Kelewele and good Y? (c) Based on the demand function above, what is the relationship between Kelewele and good Z? (d) What is the equation of the demand curve if consumer incomes are GHȼ 40, the price of good Y is GHȼ 20 and the price of good Z is GHȼ 27? (e) Graph the demand function for Kelewele from (d)The weekly demand for Kelewele among the 2018 batch of MBA students at UPSA is Qdx = 900 – 10Px + 0.2I + 5Py – 4Pz, Where Qdx is the quantity demanded of Kelewele, Px is the price of Kelewele per lb, I is the consumer income in Ghana Cedis, Py and Pz are the prices of two goods that are related to Kelewele Required: (a) Based on the demand function above, is Kelewele a normal good or an inferior good? (b) Based on the demand function above, what is the relationship between Kelewele and good Y? (c) Based on the demand function above, what is the relationship between Kelewele and good Z?
- Suppose the supply of a good is given by the equation QS=600P−1,200 , and the demand for the good is given by the equation QD=1,600−200P , where quantity (Q) is measured in millions of units and price (P) is measured in dollars per unit. The government decides to levy an excise tax of $2.00 per unit on the good, to be paid by the seller. Calculate the value of each of the following, before the tax and after the tax, to complete the table that follows: 1. The equilibrium quantity produced 2. The equilibrium price consumers pay for the good 3. The price received by sellers Before Tax After Tax Equilibrium Quantity (Millions of units) Equilibrium Price per Unit Paid by Consumers Price per Unit Received by Sellers Given the information you calculated in the preceding table, the tax incidence on consumers is per unit of the good, and the tax incidence on producers is per unit of the good. The government receives in tax revenue from levying an excise tax of $2.00 per unit on this good. True…This question will let you examine/explore a more interesting utility function than the simple example discussed in class as there will be both cross-price elasticity and an inferior good. Suppose you are told a consumer has the following utility function: U(qx, qz) = qx +√(qx + qz)You should assume income is Y , the price of good x is Px, and the price of good z is Pz. Question:What is the Marshallian demand for goods x and z? I.e. find (qx, qz)for both interior solutions and corner solutions. Note: the outcome is “ugly”for the interior section and both corner should include constraints, i.e. limitsusing Y relative to f(Px, Pz).Suppose that the market demand curve for a good is given by D=80-2P-2I, where D is the quantity demanded, P is the price of the good, and I is consumer income in thousands of dollars. The good is a divisible good. The supply curve is given by S = 3P, where S is the quantity supplied. Assume that I = 15. (a) (10 points) How many units of the good are demanded with P = $4? (b) (10 points) Compute the size of a consumer surplus at P = $4. (c) (10 points) Derive the equilibrium price of the good.
- A consumer’s preferences over two goods x and y are given bythe utility function U(x, y) = x^αy^β with α, β > 0. The prices of the goods are px = 2 and py = 4.The consumer has an income of I > 0.• For what values of α and β are these utility functions strictly monotone?• For what values of α and β will the consumer demand (i.e., Walrasian demand) be more x than y?• For what values of α and β are these goods gross substitutes? For what values of α and β are these goods gross complements? Provide a justification for your answer.Suppose household annual demand for gasoline follows the equation QD = 2000 – 500P + 25I where P is the price of a gallon of gasoline and I is household income in 1000s of dollars. Suppose that P = 3 and I = 60. What quantity of gasoline will households demand at this price and income level? __________ What is the income elasticity of demand for gasoline at this price, income, and quantity level? __________ What happens to the income elasticity of gasoline demand if I rises from 60 to 100? It _____________ (rises/falls) to ______________. Does this change in elasticity make gasoline buying more or less sensitive to income changes? __________If we know that the demand function of a product is Qd-100-P, where P is the price perproduct units, and Q is the number of products. a. Calculate the consumer surplus, if the market price is IDR 50 per unit!b. If the market price rises from IDR 50 to IDR 75 per unit, calculate the new consumer surplus.C. Draw items a and b in one diagram.