The demand and supply functions for two independent goods are given by 2D₁ = 400 – 5P₁ - 3P₂ and QD2 = 300 - 2P₁ - 3P₂ Qs2 = -100 + 2P₂ 2s1 = -60 +3P₁ and Show that in equilibrium the prices satisfy [8 [23]]= [46] Using Cramer's rule find the equilibrium price of Good 1.
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- Suppose products A and B have demand and supply equations that are related to each other If q, and qe are the quantities produced and sold of A and B. respectively, and pa and pg are their respective prices, the table below shows the demand equationsn and the supply equations. Eliminate q, and qy to get the equilibrium prices. demand equations qA =3-PA * Po e - 26 + PA "PB supply equations 4A= -5+ 4pA - 3pPg 48 = -7-3p, + 4pe The prices are Pa S and PeS (Round to the nearest cent as needed)The demand and supply functions for three (03) goods are given as follows: Dx = 100-3Px+Py+3Pz Dy = 80+Px-2Py-Pz Dz = 120+3Px-Py-4Pz Sx = -10+Px Sy = -20+3Py Sz = -30+2Pz determineThe equilibrium prices and quantities of all three goods are? The government decides to: Impose a 25% Tax on X? Impose a 5 Rs /unit Tax on Y? Give a 10% subsidy on good z? Analyze the impact of each of these policies separately on equilibrium prices and quantities? Also calculate changes in consumer and producer surpluses, and amount of revenue earned by the government? Repeat this exercise when policies (a, b), (b, c) and (a, b, c) are jointly implemented. Which policy choice is best? Why? Provide theoretical justification (using diagrams) of all results obtained?The demand and supply functions for two independent goods are given by: QD₁ = 502P₁ + P₂ and QD2 = 10 + P₁ - 4P₂ Qs1 = -21 + P₁ and Qs2 = -10 + 5P₂ Show that in equilibrium: R=2 Find the equilibrium prices.
- 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 D2Due to a recession that lowered incomes, the 2008 market prices for last-minute rentals of U.S. beachfront properties were lower than usual. Suppose that the inverse demand function for renting a beachfront property in Ocean City, New Jersey, during the first week of August is Derive the equilibrium price, p, and the quantity, Q", in terms of Y. The equilibrium quantity, Q', ist p=1000-Q+= Y where Y is the median annual income of the people involved in this market, Q is quantity, and p is the rental price. The inverse supply function is Q Y 50 p= Q² = 10A particular commodity has a price-demand equation given by p = √18,444 - 417x, where x is the amount in pounds of the commodity demanded when the price is p dollars per pound. (a) Find consumers' surplus if the equilibrium quantity is 40 pounds. (Round your answer to the nearest cent if necessary.) (b) Find consumers' surplus if the equilibrium price is 17 dollars. (Round your answer to the nearest cent if necessary.) $
- The demand and supply functions for three (03) goods are given as follows: Dx = 100-3Px+Py+3Pz Dy = 80+Px-2Py-Pz Dz = 120+3Px-Py-4Pz Sx = -10+Px Sy = -20+3Py Sz = -30+2Pz The equilibrium prices and quantities of all three goods are: Px= 78.72 Qx= 68.72 Py= 23.66 Qy= 50.98 Pz= 60.42 Qz= 90.84 The government decides to: a) impose a 25% Tax on X b) impose a 5 Rs/unit Tax on Y c) give a 10% subsidy on good z When policies (a,b), (b,c), and (a,b,c) are jointly implemented. Analyze the impact on equilibrium prices and quantities. Which policy choice is best? Why?The demand and supply functions for three (03) goods are given as follows: Dx = 100-3Px+Py+3Pz Dy = 80+Px-2Py-Pz Dz = 120+3Px-Py-4Pz Sx = -10+Px Sy = -20+3Py Sz = -30+2Pz The equilibrium prices and quantities of all three goods are: Px= 78.72 Qx= 68.72 Py= 23.66 Qy= 50.98 Pz= 60.42 Qz= 90.84 The government decides to: impose a 25% Tax on X impose a 5 Rs/unit Tax on Y When these above policies are jointly implemented. Analyse the impact on equilibrium prices and quantities.The demand and supply functions for three (03) goods are given as follows: Dx = 100-3Px+Py+3Pz Dy = 80+Px-2Py-Pz Dz = 120+3Px-Py-4Pz Sx = -10+Px Sy = -20+3Py Sz = -30+2Pz The equilibrium prices and quantities of all three goods are: Px= 78.72 Qx= 68.72 Py= 23.66 Qy= 50.98 Pz= 60.42 Qz= 90.84 The government decides to: impose a 5 Rs/unit Tax on Y give a 10% subsidy on good Z. When the above policies are jointly implemented. Analyse the impact on equilibrium prices and quantities.
- The demand and supply functions for three (03) goods are given as follows: Dx = 100-3Px+Py+3Pz Dy = 80+Px-2Py-Pz Dz = 120+3Px-Py-4Pz Sx = -10+Px Sy = -20+3Py Sz = -30+2Pz The equilibrium prices and quantities of all three goods are: Px= 78.72 Qx= 68.72 Py= 23.66 Qy= 50.98 Pz= 60.42 Qz= 90.84 The government decides to: a) impose a 25% Tax on X b) impose a 5 Rs/unit Tax on Y c) give a 10% subsidy on good z Analyze the impact of each of these policies seperately on equilibrium prices and quantities.The demand and supply functions for three (03) goods are given as follows: Dx = 100-3Px+Py+3Pz Dy = 80+Px-2Py-Pz Dz = 120+3Px-Py-4Pz Sx = -10+Px Sy = -20+3Py Sz = -30+2Pz The equilibrium prices and quantities of all three goods are: Px= 78.72 Qx= 68.72 Py= 23.66 Qy= 50.98 Pz= 60.42 Qz= 90.84 The government decides to: Give a 10% subsidy on good Z. Analyse the impact on equilibrium prices and quantities.The demand and supply functions for three (03) goods are given as follows: Dx = 100-3Px+Py+3Pz Dy = 80+Px-2Py-Pz Dz = 120+3Px-Py-4Pz Sx = -10+Px Sy = -20+3Py Sz = -30+2Pz The equilibrium prices and quantities of all three goods are: Px= 78.72 Qx= 68.72 Py= 23.66 Qy= 50.98 Pz= 60.42 Qz= 90.84 The government decides to: impose a 25% Tax on X impose a 5 Rs/unit Tax on Y give a 10% subsidy on good Z. When the above policies are jointly implemented. Analyse the impact on equilibrium prices and quantities.