APEC 1101H Chapter Notes - Chapter 4: Plus And Minus Signs, Demand Curve, Price Discrimination

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30 Sep 2018

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Direction of change v. magnitude of change. Law of demand- (direction) consimers buy more when prices decline. Elastic- modest price change causes substantial change in quantity. Inelastic- substantial price change causes only modest change in quantity. % change in qd of x due to 1% change in price of x. Mid-point method - use average of new and old values as reference point for computing % %change in price of x (change in qd x/ Orig qd of x) (change in price of x/ Orig price of x) change (change qd x/ Demand curves slope down, ed is always negative. Ignore minus sign in price elasticity coefficient and show absolute value. Demand is price elastic if a specific % change in price results in a larger % change in. Specific % change in price results in smaller % change in qd. Demand has unit elasticity if % change in price results in same % change in qd.

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PROBLEM SET ONE -2 - PRICE-ELASTICITY OF DEMAND

	P₁	P₂	Q_D1	Q_D2	I	II	III	IV	V
1	1	2	10	5
2	5	3	40	90
3	12	20	200	200
4	3	2	9	9
5	0.40	1.40	30	15
6	1.2	4.0	20	15
7	7.5	4.6	40	30
8	5	5.000â¦01	1x10⁶	0
9	5	4.9999â¦.	10	1x10⁹
10	6	12	12	6
11	18	36	360	180
12	7	15	24	16
13	7	16	78	78
14	25	65	150	100
15	65	91	1300	780
16	4	5	21	11
17	8	4	30	54
18	140	275	625	495
19	78	91	780	780
20	91	78	780	780

Column I - determine the Price-Elasticity of Demand Coefficient. Find material in Chapter 6 and the Powerpoint of Elasticity Chap 004 19e.ppt

change in quantity demanded change in price

E_D = ---------------------------------------- â ----------------------------

sum of quantities demanded / 2 sum of prices / 2

The data in the first four columns represent price (P) and quantity demanded (Qd) in time 1 (before change in price) and time 2 (after change in price). Note that results should be expressed in absolute terms (see paragraph Elimination of Minus Sign). For example, -1 should be expressed as â1â.

Column II â Based on topic concerning Interpretations of E_D, indicate which applies based on how the quantity demanded changed subsequent to a change in price (elastic, inelastic, etc.)

Column III - you need to determine if the good in question would be considered a necessity, a luxury or neither.

Column IV â Indicate, in monetary terms, how much is the change in total revenue or total expenditure (TR = P X Q_D), from the first price level to the second.

Column V - the direction of the change, also in monetary terms, that is, increasing or decreasing, and by how much? (show a + sign for increasing and a â sign for decreasing).

Note: for any monetary result please include the applicable currency symbol ($, â¬, etc.)

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1. Using supply-and-demand diagrams, show the effect of the following events on the market for sweatshirts.

(a) A hurricane in South Carolina damages the cotton crop.

(b) The price of leather jackets falls.

(d) New knitting machines are invented.

2. (a) What is the definition of quantity demanded?

(b) What is the definition of quantity supplied?

(d) Choose one of the factors from part (b) and consider the market for bananas. On a well-labeled diagram, demonstrate what will occur in this market if there is a change in this factor.

(e) List the 4 factors that cause the supply curve to shift to the left or the right.

(f) Choose one of the factors from part (e) and consider the market for scooters. On a well-labeled diagram, demonstrate what will occur in this market if there is a change in this factor.

(g) Choose one factor from part (b) and another from part (e) and consider the market for minivans. On a well-labeled diagram, demonstrate what will occur in this market given the change in both factors. (Hint: Draw separate diagrams for parts (d), (f), & (g))

3. Suppose that the price of basketball tickets at your college is determined by market forces. Currently, the demand and supply schedules are as follows:

page1image3877024

(a) Draw the demand and the supply curves. What is unusual about this supply curve? Why might this be true?

(b) What are the equilibrium price and quantity of tickets?

(c) Your college plans to increase total enrollment next year by 5,000 students. The additional students will have the following demand schedule:

page1image3870304

Now add the old demand schedule and the demand schedule for the new students to calculate the new demand schedule for the entire college. What will be the new equilibrium price and quantity?

4. Market research has revealed the following information about the market for chocolate bars: The demand schedule can be represented by the equation QD = 1600 − 300P, where QD is the quantity demanded and P is the price. The supply schedule can be represented by the equation QS = 1400 + 700P, where QS is the quantity supplied.

(a) Sketch a graph representing the market for chocolate bars. Identify the equilibrium point on your graph.

(b) Calculate the equilibrium price and quantity in the market for chocolate bars.

5. For each of the following pairs of goods, which good would you expect to have more elastic demand and why?

(a) Required textbooks or mystery novels

(b) Beethoven recordings or classical music recordings in general

(d) Root beer or water

(e) Insulin or Tylenol

(f) Food or bananas

6.Consider the following information from the market for lemonade:

Price	Quantity Demanded	Quantity Supplied
$1	500 cups	150 cups
$2	200 cups	310 cups

(a) As the price changes from $1 to $2, what is the value of price elasticity of demand?

(b) As the price changes from $1 to $2, what is the value of price elasticity of supply?

(c) Sketch a diagram demonstrating the market for lemonade. Are the supply and demand curves relatively inelastic or elastic? Explain.

(d) Suppose that when the price of lemonade increases from $1 to $2, the quantity demanded of orange juice increases from 150 cups to 190 cups. Calculate cross-price elasticity of demand for orange juice.

(e) Are orange juice and lemonade substitute or complementary goods? Explain.

7. Suppose that business travelers and vacationers have the following demand for airline tickets from New York to Boston:

page2image1834528

(a) As the price of tickets rises from $200 to $250, what is the price elasticity of demand for (i) business travelers and (ii) vacationers? (Use the midpoint method in your calculations)

(b) Why might vacationers have a different elasticity from business travelers?

8. Suppose the price elasticity of demand for heating oil is 0.2 in the short run and 0.7 in the long run.

(a) If the price of heating oil rises from $1.80 to $2.20 per gallon, what happens to the quantity of heating oil demand in the short run? In the long run? (Use the midpoint method in your calculations)

(b) Why might this elasticity depend on the time horizon?

9. The Government has decided that the free-market price of cheese is too low.

(a) Suppose the government imposes a binding price floor in the cheese market. Draw a supply-and-demand diagram to show the effect of this policy on the price of cheese and the quantity of cheese sold. Is there a shortage or surplus of cheese?

(b) Farmers complain that the price foor has reduced their total revenue. Is this possible? Explain

(c) In response to farmer's complaints, the government agrees to purchase all the surplus cheese at the price floor. Compared to the basic price floor, who benefits from this new policy? Who loses?

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APEC 1101H Chapter Notes - Chapter 4: Plus And Minus Signs, Demand Curve, Price Discrimination

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