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- 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.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).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 R
- suppose there is a market demand for coffee that express with the function Qd=252-4p and at the same time the supply of coffee is perfectly inelastic Qs=172, therefore farmers cannot change the supply quanitiy in the shortrun. so make a graph and calculate 1)consumer surplus, 2)the own-price elasticity of demand at $40/unit, and 3)the reservation price of consumers where demand elasticity equal 0.189.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 weekly demand for sobolo among the 2017 cohort of BSc Admin students at the UGBS is Qdx =50-4PX +0.5I +10Py -2PzWhere Qdx is the quantity demanded for soboloPX is the price of sobolo per 1bottleI is the income of consumers in Ghana cedisPy and Pz are the prices of two goods that are related to soboloa. Based on the demand function above, is sobolo a normal good or inferior good? Explain your answer.b. Based on the demand function above , what is the relationship between sobolo and good Yc. Based on the demand function above , what is the relationship between sobolo and good Zd. What is the equation of the demand for sobolo if consumer incomes areGHS30, the price of good Y is GHS 10 and the price of good Z is GHS 20?e. Graph the demand function for sobolo from d)The demand for private jets (x) is given by QD = 20 – (px/y) + py where px is the price of jets, py is the price of yachts and I is the average income level. (a) Is a jet a normal or inferior good? Are yachts and jets substitutes or complements ?(explain your reasoning in a sentence) At the point I = px = py =10 calculate (b) the (own) price elasticity of demand (c) the cross price elasticity of demand (demand for jets with respect to the price of yachts) (d) the income elasticity of demand
- Suppose the generalized demand function for good X is Qd=60-2Px+0.01M+7Pr a.Suppose M=40,000 and Pr=20 what is the direct demand function b.Suppose the supply function is Qs=-600+10Px, what are the equilibrium price and quantity? c.What happens to equilibrium price and quantity if other things remain the same as in part (b) but income increases to 52,000? d.What happens to equilibrium price and quantity if other things remain the same as in part (b) but the price of the related good decrease to 14? e.What happens to equilibrium price and quantity if other thing remain the same, income and price of related goods are at their original levels and supply shifts to Qs=-360+10Px?Find the consumers' surplus at a price level of $1 for the price-demand equation p=D(x)=20−0.1x where p is the price and x is the demand. Do not include a dollar sign or any commas in your answer.Consider the demand function for good1, Q1 = 2037 - 9P1 + 0.6000000000000001P2 - 0.75P3 + 0.07Y Where, price of good1 (P1) is 59, price of good2 (P2) is 255, price of good3 (P3) is 195, and income (Y) is 24425; (a) Find the price elasticity of demand (PED). (Give your answer to two decimal places) (b) Find the income elasticity of demand (YED). (Give your answer to two decimal places) c) Find the cross price elasticity of demand (XED) between good1 and good3. (Give your answer to east two decimal places) d) Estimate the percentage change in the demand for good1 resulting from a 4% decrease in the price of good2. (Give your answer to two decimal places, if required)
