Consider the price-supply function p= S(x) = 5+ 0.1x. (a) Find the equilibrium quantity a if the producers' surplus at ī is 500 pesos. (b) Find the corresponding equilibrium price, p. (c) If p = D(x) = ax² + b is the price-demand equation, find the values of 2000 a and b so that the consumers' surplus at the equilibrium point is 3 pesos.
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- Supply and Demand Q1 Assume that the demand curve D(p) given below is the market demand for apples: Q=D(p)=280−20pQ=D(p)=280-20p, p > 0 Let the market supply of apples be given by: Q=S(p)=48+9pQ=S(p)=48+9p, p > 0 where p is the price (in dollars) and Q is the quantity. The functions D(p) and S(p) give the number of bushels demanded and supplied. What is the consumer surplus at the equilibrium price and quantity? Round the equilibrium price to the nearest cent, use that rounded price to compute the equilibrium quantity, and round the equilibrium quantity DOWN to its integer part.Maintain full precision for the vertical intercept by carrying the full fraction into your consumer surplus calculation.Please round your consumer surplus answer to the nearest integer.8. Assume that the demand for films is given by Q = 45 − 2P and the supply is given byQ = 15 + P. What are the equilibrium price and quantity of films?(a) P = 10 and Q = 25(b) P = 12 and Q = 21(c) P = 12 and Q = 15(d) P = 25 and Q = 10(e) None of the above(Q.3.3.) Suppose the demand and supply equations for a particular good are given as follow: QD - 140 - 2P and Qs - 4P - 10. The market for this good is currently in equilibrium. (Q.3.10) At the current market price, is the market outcome efficient? If not, state the relationship between the current market price and the efficient market price, and the current quantity traded and the efficient quantity traded. At the current market price, the market outcome_______________The current market price__________________the efficlent price, and the current quantity traded___________the efficient quantity. (Please explain the response. Do not simply provide an answer. Thank you. Option choices are: is efficient, is equal to, is greater than, is inefficient, or is less than than.)
- Which factor that influences change in buying plan, other than price of good? Find [05] out market equilibrium price and quantity from the demand function: Q= 15-4p ands supply function: Q=-1+ 6p. Show it graphicallyIn this problem, p is in dollars and x is the number of units. The demand function for a product is p = 54 − x2. If the equilibrium price is $5 per unit, how many units will be purchased at this price? x1 = What is the equilibrium point? (x1, p1) = What is the consumer's surplus? (Round your answer to the nearest cent.) $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.
- As you now know, we are considering entering the tomato sauce market. We have continued our research and now better understand consumer demand for our jars of sauce as: D(p) = -3p+25 We are prepared to supply: S(p) = 2p-4 In this question, assume that the equilibrium price and quantity are given by: P∗ and Q∗ What is the consumer's surplus at $4?Q3Use a matrix method to find the equilibrium prices and quantities where the supply and demand functionsfor Good 1, Good 2 and Good 3 are asQd1 = 50 − 2P1 + 5P2 − 3P3, Qs1 = 8P1 − 5Qd2 = 22 + 7P1 − 2P2 + 5P3, Qs2 = 12P2 − 5Qd3 = 17 + P1 + 5P2 − 3P3, Qs3 = 4P3 − 1In the following cases, calculate the inverse demand and the consumer surplus at the price p = 10 dollars, as well as the graphical representation. a) D(p) = 100 − p. b) D(p) = 100 − bp, where b is a positive constant. c) D(p) = 100 − 0, 25p. d) D(p) = a − p, where a is a positive constant. 2- The price goes from 10 to 13 dollars, a) D(p) = 100 − p. b) D(p) = 100 − bp, where b is a positive constant. c) D(p) = 100 − 0, 25p. d) D(p) = a − p, where a is a positive constant.
- 1. Suppose the demand for and supply of one-bedroom housing units in Nairobi’s Westlands area can be represented by the following linear functions:Qd =18,200–40P and Qs =–2,200+20PWhere Qd, Qs = Number of housing units in thousands, P = Price in US dollars.a) Determine the market equilibrium price and quantity b) Suppose the government decides to subsidize the cost of construction one-bedroom houses in the area at US$20.00 per housing unit. Determine the equilibrium outcome after the subsidy, and show how the benefit is shared between tenants and landlords. How much will the subsidy costthe government?c) Graphically show your results using well labeled demand and supply curves10.Which of the following would cause the demand curve for brooms to shift to the right, assuming that brooms were an inferior good? A-The price of brooms increases. B-The price of a complement increases. C-The income of all consumers decreases. D-The economy strengthens because of decreased taxes. E-The production of brooms decreases because of vacuum cleaners. 11.If a firm with a supply schedule with positive units at every price leaves a market, ceteris paribus, what will happen to the market supply? A-It will shift right by that firm's output quantity at every price. B-It will shift left or decrease by that firm's output quantity at every price. C-It will not change. D-It will become more elastic. E-Insufficient data to determine.Given the following information about the supply of and demand for apples: Price Quantity demanded (per month) Quantity Supplied (per month) P 0.50 12,000 0 0.75 10,000 2,000 1.00 8,000 4,000 1.25 6,000 6,000 1.50 4,000 8,000 1.75 2,000 10,000 2.00 0 12,000 Plot the demand and supply curves, and determine the equilibrium price and quantity. Assuming the market for apples meets the efficiency condition, show the equilibrium price and quantity that maximizes net benefit to society. Identify the area of consumer surplus and the area of producer surplus.
