Demand for apartments in a certain town is D(x) = 2000-x, and the supply is S(x) = 500 + 11x, where x is the number of apartments, in hundreds, and D(x) and S(x) are the rent in dollars per month, per apartment. a) Find the equilibrium point. b) Find the consumer surplus and producer surplus. c) Suppose a maximum rent of $1325 per month is imposed by the town council. Find the point (Xc. Pc). d) Find the new consumer surplus and new producer surplus. e) Find the deadweight loss.

Demand for apartments in a certain town is D(x) = 2000-x, and the supply is S(x) = 500 + 11x, where x is the number of apartments, in hundreds, and D(x) and S(x) are the rent in dollars per month, per apartment. a) Find the equilibrium point. b) Find the consumer surplus and producer surplus. c) Suppose a maximum rent of $1325 per month is imposed by the town council. Find the point (Xc. Pc). d) Find the new consumer surplus and new producer surplus. e) Find the deadweight loss.

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter6: Simple Pricing

Section: Chapter Questions

Problem 8MC

See similar textbooks

Similar questions

Suppose the demand for football tickets at a local college is QD=70,000−500P and the supply of tickets is QS=30,000. The market equilibrium price is $8080 and the equilibrium quantity is 30000 tickets. (Enter your responses as whole numbers.) Total economic surplus in this market is ______. (Enter your response as a whole number.)
Suppose the market demand for TV remotes is given by the equation Qd = 100 – 2P, where P is the price and Qd is the number of TV remotes. If the market price of TV remotes is $40, then the quantity demanded equals _____ and the value of consumer surplus is _____. 40; $200 20; $100 100; $20 2; $40
The market demand and supply equations for theme park in a city are given by P = 30 – 0.005QD and P = 10 + 0.005QS, where P is the price in dollars and QD is the quantity of theme-park tickets demanded and QS is the quantity of theme park ticket supplied. Given that the equilibrium price of theme park tickets is $20, equilibrium quantity of theme park tickets is 2000 and the consumer surplus is 10000 and producer surplus is 10000: Explain the implications of the welfare of consumers, producers and the society when the price of theme park ticket is fixed at $15. Support your answers with a graph of the theme park tickets market.
A fast-food outlet finds that the demand equation for its new side dish, "Sweetdough Tidbit," is given by p = 16 (q + 1)2 , where p is the price (in cents) per serving and q is the number of servings that can be sold per hour at this price. At the same time, the franchise is prepared to sell q = 0.5p − 1 servings per hour at a price of p cents. Find the equilibrium price p, the consumers' surplus CS and the producers' surplus PS at this price level. What is the total social gain at the equilibrium price? equilibrium price p = ¢consumers' surplusCS= ¢producers' surplusPS= ¢total social gain ¢
Suppose a demand function is given by p = 15 + 6000(q+25)-1 and the supply function is given by p = q+20. Find the equilibrium (correct to 1 decimal point) and hence compute either the Consumer Surplus or the Producer Surplus.
Producers' Surplus The demand function for a certain brand of CD is given by p = −0.01x2 − 0.2x + 7 where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. The supply function is given by p = 0.01x2 + 0.1x + 2 where p is the unit price in dollars and x stands for the quantity that will be made available in the market by the supplier, measured in units of a thousand. Determine the producers' surplus if the market price is set at the equilibrium price. (Round your answer to the nearest dollar.) $
Suppose that the demand and supply functions are P=10-Q and P=Q respectively. Which of the following statements are correct for the value of consumer and producer surplus in the equilibrium? Select one or more: a. The value of producer surplus is 25. b. The value of consumer surplus is 15. c. The value of consumer surplus is 12.5. d. The value of producer surplus is 15. e. The value of consumer surplus is 25. f. The value of producer surplus is 12.5.
The market demand function for ice cream is Qd = 10 - 2P and the market supply function for ice cream is Qs = 4P - 2, where both quantities are measured in millions of gallons per year. What is the aggregate surplus at the competitive market equilibrium? Question 17 options: $4.5 million $9 million $13.5 million $27 million
The equilibrium quantity and price is 5 units and $49 dollars respectively. Demand function is p = 74 – Q2 and Supply function is P = (Q+2)2 . Calculate consumer surplus?
he inverse demand function for portable electric heaters is P=220-Q and the supply function is P=20+3Q. Find the competitive equilibrium in the market of portable electric heaters (price and quantity) and represent it graphically. Compute the consumer surplus, producer surplus, and total welfare corresponding to the equilibrium found at point (a) and represent them on the graph. The government believes portable electric heaters are a very inefficient way of space heating. For this reason, it introduces a specific tax of 20 for each portable electric heater sold. Find the new quantity exchanged on the market after the introduction of the tax, the price paid by the buyers, and that received by the sellers. Compute the new consumer surplus, producer surplus, and total welfare after the introduction of the tax and represent them on the graph. Does the government’s intervention generate a loss of welfare? If yes, explain why and compute it. Use the price elasticity of demand and supply in…
Suppose the demand & supply for the market for sweet potatoes is given by the following equations: Q_D=200-20 P & Q_S=30+30P where P is the price per lb. of sweet potatoes, Q_D is the quantity demanded for sweet potatoes and Q_S is the quantity supplied. 1.Calculate the consumer surplus at market price $4.00. 2.Calculate the producer surplus at price $4.00.
Suppose the demand and supply curves for good X are both linear. The demand price for the first unit of X is $28, and the supply price for the first unit of X is $6. If the equilibrium price for good X is $16 and the equilibrium quantity of X is 24,000 units, then total consumer surplus is ________, total producer surplus is ________, and total social surplus is ________. $144,000; $120,000; $264,000 $144,000; $672,000; $384,000 $120,000; $144,000; $264,000 $28; $6; $16 $672,000; $144,000; $384,000