Question
Use the following graph of the market for rental housing in Townsville to work Problems 1 and 2.a. What are the equilibrium rent and the quantity of housing rented?b. If a rent ceiling is set at $\$ 600$ a month, what is the rent paid? What is the shortage of housing?
Step 1
The equilibrium point is where the demand and supply curves intersect. In this case, the equilibrium point is at a price of $450 a month and a quantity of 20 units of housing. This means that at a price of $450 a month, the quantity of housing demanded equals the Show more…
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Use the following graph of the market for rental housing in Townsville to work Problems 1 and 2. If the rent ceiling is $\$ 300$ a month, what is the quantity rented, the shortage of housing, and the maximum price that someone is willing to pay for the last unit of housing available?
Use the information on the market for apartments in Bay City in the table to answer the following questions: a. In the absence of rent control, what is the equilibrium rent, and what is the equilibrium quantity of apartments rented? Draw a demand and supply graph of the market for apartments to illustrate your answer. In equilibrium, will there any renters who are unable to find an apartment to rent or any landlords who are unable to find a renter for an apartment? b. Suppose the government sets a ceiling of $\$ 600$ per month on rents. What is the quantity of apartments demanded, and what is the quantity of apartments supplied? c. Assume that all landlords abide by the law in part (b). Use a demand and supply graph to illustrate the effect of this price ceiling on the market for apartments. Be sure to indicate on your graph each of the following: (i) the area representing consumer surplus after the price ceiling has been imposed, (ii) the area rep- resenting producer surplus after the price ceiling has been imposed, and (iii) the area representing the deadweight loss after the price ceiling has been imposed. d. Assume that the quantity of apartments supplied is the same as you determined in $(b),$ but now assume that landlords ignore the law and rent this quantity of apartments for the highest rent they can get. Briefly explain what this rent will be.
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Apartment Rental A real estate office manages an apartment complex with 50 units. When the rent is $\$ 780$ per month, all 50 units are occupied. However, when the rent is $\$ 825,$ the average number of occupied units drops to $47 .$ Assume that the relationship between the monthly rent $p$ and the demand $x$ is linear. (Note: The term demand refers to the number of occupied units.) (a) Write a linear equation giving the demand $x$ in terms of the rent $p .$ (b) Linear extrapolation Use a graphing utility to graph the demand equation and use the trace feature to predict the number of units occupied when the rent is raised to $\$ 855 .$ (c) Linear interpolation Predict the number of units occupied when the rent is lowered to $\$ 795 .$ Verify graphically.
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