Question

In: Economics

[10 marks] In the UK’s market for cars, demand D is given by D = 120...

[10 marks] In the UK’s market for cars, demand D is given by D = 120 − 3p where p is the price of cars. The supply of cars is given by S = 3p. Define a competitive equilibrium for this market and find the equilibrium price of cars and the quantity traded. Draw a graph of these supply and demand functions (putting p on the “y-axis”) and illustrate the equilibrium outcome on that graph. b) [8 marks] Suppose the demand for cars also depends on the [exogenous] price of petrol p P . Specifically suppose the demand for cars is now D = 120 − 3p − 6p P the supply of cars remains at S = 3p. Find the equilibrium price of cars and the quantity traded. Use a graph of the supply and demand for cars to explain how an increase in the price of petrol affects the market outcome. c) [7 marks] Given the [exogenous] price of petrol p P , show the car market generates sales revenues R = 3[p P ] 2 − 120p P + 1200. Sketch a graph of sales revenue R as a function of the price of petrol. [You may assume the price of petrol does not exceed 20]

Solutions

Expert Solution


Related Solutions

Suppose that the demand curve for wheat is D ( p ) = 120 − 10...
Suppose that the demand curve for wheat is D ( p ) = 120 − 10 p , and the supply curve is S ( p ) = 10 p . The government imposes a price floor of $8 per unit. 1. Draw a clearly marked graph to illustrate the demand, supply, competitive equilibrium point (without government intervention), and the price floor. 2. Compute the equilibrium price and quantity after the price floor and interpret the results. 3. Explain who...
Question 1 The demand for cars in a certain country is given by D = 15000...
Question 1 The demand for cars in a certain country is given by D = 15000 – 100P; where P is the price of a car. Supply by domestic cars producers is S = 8000 + 40P. (a) Assuming that the economy is closed, find the equilibrium price and production quantity of cars in that country. (b) The economy opens to trade. The world price of a car is $80. Find the domestic quantities demanded and supplied and the quantity...
Consider the market for wheat where demand is given​ by: Qd=120-4p and supply is given​ by:...
Consider the market for wheat where demand is given​ by: Qd=120-4p and supply is given​ by: Qs=50 + 2p. Now suppose​ that, due to a market failure​ (an artificial shipping​ constraint), a maximum of 63.32 units of wheat can be supplied by firms in the market. ​The amount of the deadweight loss caused by the market failure is ​$__________________.
Suppose that the market demand and supply for milk is given by Qd =120−6P and Qs...
Suppose that the market demand and supply for milk is given by Qd =120−6P and Qs = 12P − 60 a. Find the market equilibrium quantity, and the equilibrium price. (5 points) b. Determine the quantity demanded, the quantity supplied, and the magnitude of the surplus (or shortage) if a price floor of $8 is imposed in this market. (5 points) c. Determine the quantity demanded, the quantity supplied, and the magnitude of the surplus (or shortage) if a price...
1. Given: Suppose you are given the following market demand function for electric cars: QD = ...
1. Given: Suppose you are given the following market demand function for electric cars: QD = I − P where P is the price per unit of electric cars and I is consumer income. And given the market supply function for electric cars: QS = 4*P − 10*w where P is the price per unit of electric cars, w is the hourly wage rate the firm pays to workers. Suppose, as a baseline, I = 50000 and w = 500....
In the market for used cars, the demand and supply equations are given by QD=12,000 -.4P...
In the market for used cars, the demand and supply equations are given by QD=12,000 -.4P and QS=.1P+5000, where P is the price per car and Q measures the quantity of cars. What is the size of the deadweight loss at a price floor of $15,000?
Now, assume that the demand in the fish market is given by: Demand: Quantity = 10,...
Now, assume that the demand in the fish market is given by: Demand: Quantity = 10, 100 − 100 ∙ Price 5. Find the equilibrium price and quantity, and represent the demand, supply, and equilibrium in a graph (with quantity in the horizontal axis and price in the vertical axis). 6. How much money is each firm making in profit? 7. If there is free entry to the fish market, how many firms will there be in equilibrium in the...
The market demand function for a good is given by Q = D(p) = 800 −...
The market demand function for a good is given by Q = D(p) = 800 − 50p. For each firm that produces the good the total cost function is TC(Q) = 4Q+( Q2/2) . Recall that this means that the marginal cost is MC(Q) = 4 + Q. Assume that firms are price takers. In the short run (with 100 firms), and assume that the government imposes a tax of $3 per unit. (a) What would be the new equilibrium...
(Dominant Firm) Consider a market in the short-run. The market demand curve is given by D(p)...
(Dominant Firm) Consider a market in the short-run. The market demand curve is given by D(p) = 2000 − 30p. There is a dominant firm in the market with cost function C(q) = 20q. There are also 10 price-taking fringe firms, each with cost function C(q) = 20q + q2 . Their marginal costs are therefore M C(q) = 20 + q. A) Find the supply function for an individual fringe firm, q(p). (You do not need to define this...
The market demand for gym memberships in North Florida is given by the equation Q D...
The market demand for gym memberships in North Florida is given by the equation Q D N = 1000 − 20 p, and the market demand for gym memberships in South Florida is given by the equation Q D S = 1200 − 40 p. Price is measured as the monthly membership fee and quantity is measured as memberships per month. In this problem assume North Florida and South Florida are separate and independent markets. (a) Suppose the membership fee...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT