ECON 102 Lecture Notes - Lecture 13: Insulin, Breakfast Cereal, Midpoint Method

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27 Mar 2018

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Basic idea is the measure how much one variable responds to change in another variable. One example of elasticity measures how much demand for your websites will fall if you raise your price. Definition: a numerical measure of the responsiveness of q^d or q^s to one of its determinants. Price elasticity of demand= (% change in q^d)/(% change in p) Price elasticity of demand measure how much q^d responds to a change in p. Ex: if the price rises by 10% and the q falls by 15%, then the price elasticity of demand is (15%/10%)=1. 5. Along a d curve, p and q move in opposite directions which would make price elasticity negative. Calculating percentage changes (end value- start value)/ start value x 100% Midpoint method: (end value- start value)/midpoint x 100% The midpoint number is halfway between the start and end values. The % change in p equals (-)/ x 100%=22. 2% The % change in q equals (12-8)/10= 40%

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1. __________________ A measure of consumersâ sensitivity or responsiveness to changes in the price of a good or service.

2. ___________________ When the percentage change in price (in absolute value) is more than the percentage change in quantity demanded (in absolute value).

3. ___________________ When the percentage change in quantity demanded (in absolute value) is more than the percentage change in price (in absolute value).

4. ___________________ When the percentage change in quantity demanded (in absolute value) is just equal to the percentage change in price (in absolute value).

5. ___________________ Total amount paid to a producer for a good or service P * Q.

6. ___________________ The effect on total revenue of a change in price, holding quantity constant.

7. ___________________ The effect on total revenue of a change in quantity, holding price constant.

8. ___________________ An elasticity calculated over an interval of a demand curve or demand schedule.

9. ___________________ Elasticity at a specific price or point on a demand curve.

10. ___________________ A measure of how responsive quantity demanded is to a change in income, all other things constant.

11. ___________________ A measure showing how responsive the quantity demanded of one good is to changes in the price of another good, other factors constant.

12. ___________________ The additional revenue received by producing and selling one more unit of output.

13. ___________________ Units of output that could have been sold at a higher price had the firm not lowered its price to sell additional (marginal) units.

coffeehornet269

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.)

salmoneagle868

Use your knowledge about price-searching firms and two-part pricing to advise the company below. A company has a bar and is trying to decide on the cover charge (if any) and price for each drink. It has done a modest regression study in which it asked customers to classify themselves as light drinkers or heavy drinkers and to indicate the number of drinks they would typically consume during the evening. The estimate from the regression study is that a change in the price equal to $1 per drink causes light drinkers to change their consumption on average by 0.5 drinks per night. However, a change in the price of $1 causes heavy drinkers to change their consumption on average by 1.0 drinks per night. For both groups, a typical consumer will not consume anything once the price reaches $9 per drink. (They may instead go to another bar or not go to a bar at all.) Draw a demand curve for a typical light drinker and for a typical heavy drinker on the same diagram. Explain your diagram. Write equations for the curves in slope-intercept form.

If 300 people visit the bar on a typical evening, with 200 people being light drinkers and 100 people being heavy drinkers, draw an overall demand curve for all of the consumers combined. What is the slope and what is the intercept for this demand curve? Write an equation in slope-intercept form. If the marginal cost of making drinks (the alcohol, the bartender's labor, and the amortized cost of purchasing glasses and cleaning them repeatedly) is constant at $5 per drink, and if no cover charge is assessed, what is the best price to charge for drinks? How many drinks would be sold on a typical evening? What would your profits be? If you cut your price by $1 per drink and assess the maximum possible cover charge without causing a typical light drinker to refuse to enter the bar, would your profits improve? How high would the cover charge be? Calculate both the cover charge and your total profits. Would the new pricing increase profit?

Maybe the best price cut is not exactly $1. Write a profit equation. Profits equal to total revenue minus total cost. Total cost equals $5 times the number of drinks sold. Total revenue equals the price for drinks times the number of drinks sold, plus 300 people times the cover charge. The cover charge equals, for a light drinker, the triangle of consumer surplus above the price but below the demand curve for a light drinker. (The area of a triangle equals one half the base times the height.) You will take the derivative of the profit equation with respect to P or Q and set it equal to zero. For example, use the equation for the total demand curve and solve for Q in terms of P. Then in the profit equation substitute in an expression involving P in place of every Q that was in the original profit equation. Now you can take a derivative of profits with respect to P and set the derivative equal to zero. Eventually, you can solve for the exact best P, Q, and cover charge.

Review of the slope-intercept form: Y= a - bX; a = the intercept on the Y-axis and b = the absolute value of the slope (slope=(change in Y)/(change in X)) For a demand curve: P=a-b Q. The intercept on the vertical axis would indicate a price that is so high that the quantity demanded becomes zero. The slope is the ratio of a change in price divided by the change in quantity demanded; the extra credit problem gives you information to determine the slope for a light drinker and the slope for a heavy drinker.

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ECON 102 Lecture Notes - Lecture 13: Insulin, Breakfast Cereal, Midpoint Method

ECON 102 Full Course Notes

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