Suppose that the price-demand and the price-supply equations are given respectively by the following: p= D(x) = 40 - 0.2x, P = S(x) = 27.5 +0.001x² (a) Determine the equilibrium price p and the equilibrium quantity . (b) Calculate the total savings to buyers who are willing to pay more thar the equilibrium price p. (c) Calculate the total gain to sellers who are willing to supply units less than the equilibrium price p.

Suppose that the price-demand and the price-supply equations are given respectively by the following: p= D(x) = 40 - 0.2x, P = S(x) = 27.5 +0.001x² (a) Determine the equilibrium price p and the equilibrium quantity . (b) Calculate the total savings to buyers who are willing to pay more thar the equilibrium price p. (c) Calculate the total gain to sellers who are willing to supply units less than the equilibrium price p.

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

Chapter8: Understanding Markets And Industry Changes

Section: Chapter Questions

Problem 2MC

See similar textbooks

Similar questions

(Calculating Price Elasticity of Demand) Suppose that 50 units of a good are demanded at a price of Si per unit. A reduction in price to $0.20 results in an increase in quantity demanded to 70 units. Using the midpoint formula, show that these data yield a price elasticity of 0.25. By what percentage would a 10 percent rise in the price reduce the quantity demanded, assuming price elasticity remains constant along the demand curve?
Suppose you learned that the price elasticity of demand for wheat is 0.7 between the current price for wheat and a price 2 higher per bushel. Do you think that farmers collectively would try to reduce the supply of wheat and drive the price up 2 higher per bushel? Explain your answer. Assuming that they would try to reduce supply, what problems might they have in actually doing so?
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…
In a particular market, demand and supply curves are defined by the following equations QD = 300 – 20P,QS = -540 + 40P, where P is the price per unit in pounds and QD and QS are the quantity demanded and quantity supplied, respectively. A) What is the equilibrium price and quantity? B) If a maximum price is fixed at £12, what quantity will be traded?
At a price of $4.65 per pound, the supply for cherries is 16,117 pounds, and the demand is 10,232 pounds. When the price drops to $4.13 per pound, the supply decreases to 10,929 pounds and the demand increases to 12,809 pounds. Assume that the price-supply and price-demand equations are linear. What is the equilibrium price? $ per pound. Round to the nearest cent.