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The answer key for problem set #2 of econ 101 course taught by prof. Gaudin. It includes solutions and explanations for questions related to elasticity, supply and demand, minimum wage, and unemployment. There are a total of 65 points for this problem set.
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Problem Set #2 PS2 – answer key – Page 1 of 3
Expected answers are in bold. Explanations are added in regular font. Note that I indicated in parenthesis the points given for each questions. There are 65 points total.
1. (18) – Note that you are told that nothing but the variables in the table affects demand changes. The months themselves do not affect demand directly, only though weather, preferences, etc. So the fact that months were changing should not have prevented you from looking at elasticities. However, there were three variables that affect the quantity demanded of tacos: price of tacos, price of pizzas and income. To calculate each type of elasticity we needed to make sure that only one variable was changing and the other two stayed constant across two points.
(a) (3) No. There are no two points on the same demand curve so that when the price of taco meals changes, either income changes or the price of pizza changes or both (b) (3) No.,since we do not have 2 points on the same demand curve (c) (3) Yes. Use March and November. We need the price of pizza to change while income and the price of tacos (and everything else that would affect demand) stay constant. (d) (3) Yes. Use January and November or March and September We need the income to change while the price of tacos and the price of pizza (and everything else that would affect demand) stay constant. (e) (6)
S
D
Q
P$
600
500
400
200
6667 10000 20000
S long run
Shortage (shorter run)
Long-run shortage
(The shortage increases!)
Problem Set #2 PS2 – answer key – Page 2 of 3
(a) (4) [(20,000-10,000)/15,000]/ [(400-500)/450]=-3 (or 3 in absolute value)
(b) (2) Elastic
(c) (2) Most probably demand for one-bedroom apartments would be inelastic since there are very few cheaper or similarly priced close substitutes (necessity). This is especially true in the short run when people do not have the time to find housing elswhere. In the long run, there are more substitutes because people can move to different communities.
IMPORTANT NOTE : If you said that demand would be inelastic because the number of apartments availvable cannot change, this would be incorrect. This is not due to the demand elasticity but the SUPPLY elasticity, which are not to be confused. When measuring elasticity, we must be on the same demand curve. Taking two points that are not on the same demand curve would not work. The number of apartments would not change if supply were perfectly inelastic but that says nothing about demand.
(d) (2) 6,667 apartments (e) (1) 6,667 households will keep their apartment (f) (1) 3, 333 will lose their apartment (or find themselves with lower quality apartments very fast as landlords don’t take care of them) (g) (2) The support comes from renters who may think they will be part of the lucky 6,667 households who will save $100 per month in rent. OR maybe they just don’t undertstand that there is even a risk involved as they do not see the effect of the price control on the number of apartments available and think they will all save $100 and keep their apartment. (There is a tendency to think that the quantity of apartments for rent is fixed or that landlords will come and build more if needed no matter what price they can get out of them. Beautiful world were suppliers are in it for the consumer’s good whether they gained or lost. Unfortunately, that world would not work well because there are many things that can be done for altruistic reasons and how do we choose between them? We may not have enough housing because everybody thinks that it is more important ethically to… save the whales or feed the hungry!)
(h) (6) The supply is more elastic in the long run. Note that this should not change the equilibrium price. Draw the supply more elastic AT THE EQUILIBRIUM PRICE. Then you can just compare the slopes. Since P/Q is the same, a steeper slope means more inelastic. The shortage will become greater as landlords have more opportunities to get out of the controlled market and find better alternatives (on the graph you should have shown the short run shortage and long run shortage or at least the increase in the shortage due to the increased elasticity of supply)
(a) (4) (^) Unskilled labor market
# of workers or hours worked
$ Wage/hour S (^1)
The $5.15 minimum wage is non-binding or ineffective since the equilibrium wage is above the minimum wage. The prevailing wage is $6 and the minimum wage has no effect on the maket for unskilled labor. E 1 workers are hired (or the desired number of hours worked are E (^) 1) and there is nobody who wants to work more at the going wage (no unemployment).