Assume there are markets for three goods (Qå denotes demand for good i, Q denotes upply of good i) with interconnected demands and supply. Demand is given for every good by: 1 Qa:=a – 2P –P2 + 2P3, 5 1 Qa :=30 – P2 – P +Ps, 1 Qå:=100 – 2P3 + P1 + P2. upply is given for every good by: 1 1 Q :=10 +P +P – P3, 5 2 5 1 Q :=2P, -P + P3, 1 Q :=5+ P3 + P - P. a) Compute price elasticities ɛq P1, EQ?,P2; €Q%,P3» EQqP3» €Q%P3•
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- 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 − 1Suppose 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.the demand and supply of two goods are given below Good1 demand: Q1=100-2P1+2P2 Good1 supply : Q1=2P1 Good2 demand : Q2=200-4P2+2P1 Good supply : Q2=20+2P2 based on the two demand equations , we can say that the goods are ________(complements,subsitutes,unrelated) These two markets are in equilibrium when P1= $_______ and P2=$_______ if the demand for the good 1 increases by 20 both prices will change even through only the demand for good 1 initially changes. the new general equilibrium will be P1=$_______________ P2=$_______________
- 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.Assume that the market can be represented by the supply and demand curves: Qs = 6P - 60 Qp = 60 - 4P 1. What is the price in equilibrium? 2. What is the quantity in equilibrium?Kids in the city were willing and able to buy 12 rolls of cotton candy when the price was $1.00 each and 2 rolls of cotton candy when the price was $3.00 each. However, cotton candy machine owners in the city are willing to make 2 cotton candy rolls when the price was$1.00 and 12 cotton candy rolls when the price is $3.00 ii) Assuming that the market is linear, showing all working Derive the demand curve Pd(Q) for cotton candy in the term of price, where x= quantity Derive the supply curve Ps(Q) for cotton candy in term of price, where x = quantity iii) Using your answer from part (ii), Determine the equilibrium price and quantity for cotton candy in the city
- This problem involves solving demand and supply equations together to determine price and quantity. a. Consider a demand curve of the form QD=-2P+20, where QD is the quantity demanded of a good and P is the price of the good. Graph this demand curve. Also draw a graph of the supply curve Qs =2P-4, where Qs is the quantity supplied. Be sure to put P on the vertical axis and Q on the horizontal axis. Assume that all the Qs and Ps are nonnegative for parts a, b, and c. At what values of P and Q do these curves intersect-that is, where does QD = Qs ? b. Now, suppose at each price that individuals demand four more units of output-that the demand curve shifts to QD - 2P+24. Graph this new demand curve. At what values of P and Q does the new demand curve intersect the old supply curve-that is, where does QD = Qs ? c. Now finally, suppose the supply curve shifts to Q's=2P-8. Graph this new supply curve. At what values of P and Q does QD=Q's? Show all working calculations and label garph with…Given the following demand and supply equations: Demand Qd = 100 - 2P Supply QS = 10 + P 1. Mathematically compute for the equilibrium price and quantity. Why would such a combination be the market equilibrium? 2. Will a shortage or surplus exist in the market if the price is i.) 20 per unit and ii.) 35 per unit? Compute mathematically how large is the shortage/surplus. 3. Illustrate in a completely labelled graph the situations presented in (2.) above.Which of the following is true of any market? a. The interaction of demand and supply determines the price and quantity in that market. b. There must be a supply of the item but not necessarily a demand for the item. c. Demand and supply are always equal for an item. d. There must be a demand for the item but not necessarily a supply of the item. e. The market will always be in equilibrium
- Suppose demand for a good is QD = 100 - 2P and supply is QS = -20 + P. What is the equilibrium price? A. 20 B. 40 C. 60 D. 80 2. Suppose demand for a good is QD = 100 - 2P and supply is QS = -20 + P. What is the equilibrium quantity? A. 20 B. 40 C. 60 D. 80Assume that the demand curve D(p) given below is the market demand for widgets: Q=D(p)=1651−14pQ=D(p)=1651-14p, p > 0 Let the market supply of widgets be given by: Q=S(p)=−5+10pQ=S(p)=-5+10p, p > 0 where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and supplied at a given price. What is the equilibrium price? Please round your answer to the nearest hundredth. Answer (1 point) Save your answer What is the equilibrium quantity? Please round your answer to the nearest integer. Answer (1 point) Save your answer What is the consumer surplus at equilibrium? Please round the intercept to the nearest tenth and round your answer to the nearest integer. Answer (1 point) Save your answer What is the producer surplus at equilibrium? Please round the intercept to the nearest tenth and round your answer to the nearest integer. Answer (1…Please Suppose there are 3 buyers in a market who have the following demand equations: D1(p) = 22 – 2p D2(p) = 16 – p D3(p) = 41 – 3p a) What is market demand equal to at a price of 14? b) What is market demand equal to at a price of 16? c) Draw side-by-side graphs of the inverse demand functions for each of the three consumers and the market as a whole.