Suppose that initially Px = 2, Py = 8, I 0.5Рх 96 and the Marshallian demand function for %3D 0.51 good Y is given by Y* 0.5. Calculate the own price & income - Py Py elasticities of demand for good Y. Interpret your computed values and say something about the type of good.
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- A life-saving medicine without any close substitutes will tend to have a. a small elasticity of demand. b. a large elasticity of demand. c. a small elasticity of supply. d. a large elasticity of supply.As the price of good X rises from 10 to 12, the quantity demanded of good Y rises from 100 units to 114 units. Are X and Y substitutes or complements? What is the cross elasticity of demand?Using the following equation for the demand for a good or service, calculate the price elasticity of demand (using the point form), cross-price elasticity with good x and income elasticity. Q=82P+0.10I+Px Q is quantity demanded, P is the product price. P1 is the price of a related good, and I is income. Assume that P= $10, I = 100, and Px = 20.
- 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).Q1. Suppose the demand curve for pizza in the café is given by Q=300 - 20P- 20P1, where P1 is the price of soda. The supply curve is Q=10P - 10. a) If the price of soda is P1= 5. Find the equilibrium price and quantity of pizza. b) Due to a price change of soda, the market equilibrium price per slice of pizza changes to P*=5. What must be the price of soda now? c)Calculate the cross-price (soda) elasticity of demand (pizza) at the equilibrium point in b), and determine whether pizza and soda are substitute or complement in this example?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?The demand for Good X in New Bedford, MA is given by the following equation: Qd=60-40P+2I-30Py where: Qd is the quantity demanded of Good X P is the price of Good X I is income Pb is the price of Good Y Assume that the price of Good Y is $6 and income is $700. a. Compute the price elasticity of demand for Good X when the price of Good X is $12. b. Suppose the price of Good X is $12. Using calculus, compute the cross-price elasticity of demand of Good X for Good Y. Explain the meaning of the value you computed. c. Suppose the price of Good X is $12. Using calculus, compute the income elasticty of demand. Explain the meaning of the value you computed.
- The demand for a good is QA=200+0.3I-PA+2PB, where QA is the quantity demanded of Good A, I is the individual’s income, PA is the price of Good A, and PB is the price of Good B. Which of the following statements is true? a. Good A is a normal Good. In addition, Goods A & B are substitutes. b. Good A is a normal Good. In addition, Goods A & B are complements. c. Good A is an inferior Good. In addition, Goods A & B are substitutes. d. Good A is an inferior Good. In addition, Goods A & B are complements.Price 4 6 8 10 Market demand 40 35 30 25 New market demand - - - - (i) Plot the market demand at each pricelevel on a graph paper and label the demandcurve as DI(ii)Derive the market demand function for good x(iii) Suppose the price of acomplement good has fallen and caused a rise in the demand for good X by 25% at each price level, fill in the new quantity for market demand at each price level fill in the new quantity for market demand at each price level.(iv) Based on part (iii) plot the new demand curve on the same graph as in part (i) and label it as D2The demand for hamburgers is given by Qd=10-p and the supply is Qs=4p-10, where pd and ps are, respectively the price paid by demanders and the price received by suppliers. A: Draw the demand and supply functions. What is the price-elasticity of demand? What is the price-elasticity of supply? B: Find the equilibrium quantity and price, and show them on the graph. C: Suppose due to the rising health awareness the demand decreases to Q d=5-p. Find the new equilibrium prices and quantity, and show them on the graph. D: Suppose that the demand and supply are as before, i.e. Qd=10-p and Qs=4p-10, but now the government imposes a quantity tax on the suppler at the rate of 1 per unit of the quantity. What quantity will be sold and what price? E: In part d), what is the total amount of tax collected by the government? How this tax amount is divided between the demanders and supplier? Who pays more and why? Explain
