ECON 201 Study Guide - Final Guide: Economic Surplus

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pinkjellyfish74

7 Mar 2016

School

University of Calgary

Department

Economics

Course

ECON 201

Professor

Kenneth J.Mc Kenzie

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Document Summary

Qd = a bp or (w/taxes) qd = a b(p+t) Price elasicity of demand = (% change in q. Price elasicity of demand = (q2 q1) / [(q2 + q1)/2] (s2 s1) / [(s2 + s1)/2] Dwl = (0. 5 x t) (q1 q2) Proit = tr tc avg tc = tc/q avg fc = fc/q avg vc = vc/q avg r = tr _ Income elasicity of demand = (% change in q. Cross-price elasicity of demand = (% change in. Q d of good #1 (% change in price of good #2) Price elasicity of supply = (% change in q. Consumer surplus = (value to buyers) (amount paid by buyers) Producer surplus = (amount received by sellers) (cost to sellers)

Related Questions

22. A market is in equilibrium at the point P = $100, Q = 6000. You are told that at that point, the elasticity of demand is 1.2 (or 6/5) and the elasticity of supply is 3.6 (or 18/5). If a $1 per unit tax is placed on consumers in this market, then you know that the fraction of the tax (rounded to the nearest two decimal places) that falls on consumers (buyers) will be: A)0 B) 0.05 C) 0.10 D) 0.15 E) 0.17 F) 0.20 G) 0.25 H) 0.30 1) 0.33 J) 0.40 K) 0.42 L) 0.50 M) 0.54 N) 0.60 0) 0.65 P) 0.67 Q) 0.70 R) 0.75 S) 0.80 T) 0.83 U) 0.85 V) 0.90 W) 0.95 X) 1 Y) 0.77 Z) none of the above

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.

fuchsiasnail971

1.
A monopolist faces the following demand curve:

Price Quantity Demanded

$51 1

$47 2

$42 3

$36 4

$29 5

$21 6

$12 7

The monopolist has total fixed costs of $60 and has a constantmarginal cost of $15. What is the profit-maximizing level ofproduction?

A) 5 units
B) 3 units
C) 2 units
D) 4 units
2.
A monopolist faces the following demand curve:

Price Quantity Demanded

$10 5

$9 10

$8 16

$7 23

$6 31

$5 49

$4 52

$3 60

The monopolist has total fixed costs of $40 and a constant marginalcost of $5. At the profit-maximizing level of output, themonopolistâs average total cost is

A) $6.74
B) $9.00
C) $7.50
D) $5.82
3.
A monopoly market

A) generally fails to maximize total economic well-being.
B) generally fails to maximize producer surplus.
C) always maximizes total economic well-being.
D) always minimizes consumer surplus.
4.
For a monopoly, the supply curve is a portion of its
A) none of the above; a monopoly does not have a supplycurve.
B) average total cost curve.
C) marginal revenue curve.
D) marginal cost curve.
5.
A monopoly firm can sell 200 units of output for $36.00 per unit.Alternatively, it can sell 201 units of output for $35.80 per unit.The marginal revenue of the 201st unit of output is
A) $â35.80.
B) $4.20.
C) $â4.20.
D) $35.80.
6.
If a monopolist sells 100 units at $8 per unit and realizes anaverage total cost of $6 per unit, what is the monopolist'sprofit?
A) $800
B) $400
C) $600
D) $200
7.
A monopolist is a price
A) setter, and therefore has no demand curve.
B) setter, and therefore has no supply curve.
C) taker, and therefore has no supply curve.
D) setter, and therefore has no variable cost curve.
8.
To define a monopoly, we cite the following characteristics: (i)The firm is the sole seller of its product. (ii) The firmâs productdoes not have close substitutes. (iii) The firm generates a largeeconomic profit. (iv) The firm is located in a small geographicmarket.
A) (ii) and (iv)
B) All of the above are correct.
C) (i) and (ii)
D) (i) and (iii)
9.
Consider a transportation corporation named C.R. Evans that hasjust completed the development of a new subway system in amedium-sized town in the Northwest. Currently, there are plenty ofseats on the subway, and it is never crowded. Its capacity farexceeds the needs of the city. After just a few years of operation,the shareholders of C.R. Evans experienced incredible rates ofreturn on their investment, due to the profitability of thecorporation.

Which of the following statements are most likely to be true? (i)New entrants to the market know they will earn a smaller piece ofthe market than C.R. Evans currently has. (ii) C.R. Evans is mostlikely experiencing increasing average total cost. (iii) C.R. Evansis a natural monopoly.

A) (ii) and (iii)
B) All of the above are correct.
C) (i) and (iii)
D) (i) and (ii)
10.

Quantity
Price
Total Revenue
Average Revenue
Marginal Revenue
1
$35
$35

2

64
32
29
3
$29

4

17
5
$23

11
6

120

7
$17

-1
8

-7
9

99
11
-13
10

80
8

If the monopolist sells 8 units of its product, how much totalrevenue will it receive from the sale?

You wil have to complete the entries in this table to get ananswer. It is a wothwhile exercise and I encourage you to completethe table.

HINT: (a.) Total Revenue = Price x Quantity. (So for quantity of 3x price of $29 = 87 total revenue)

(b) Average Revenue is the same as Price. (So column 2 and column 4would be the same. Calculate to see if that is correct)

(c) Marginal Revenue = Change in TR divided by change in quantity.(You calculated TR = 87 for Q=3. Thus to find MR for Q = 3, findthe change in TR= 87 - 64 and divided by one).

A) 112
B) It cannot be determined from the information provided.
C) 164
D) 40
11.
What conditions need to be present for a firm to be able to use'price discrimination?'
A) Firm should not be perfectly competitive; the market can beseparated according to different elasticities; items can beresold
B) Firm should be perfectly competitive; the market can beseparated according to different elasticities; resale of the itemsis not possible.
C) Firm should not be perfectly competitive; buyers should havesame elasticities;; resale of the items is not possible.
D) Firm should not be perfectly competitive; the market can beseparated according to different elasticities; resale of the itemsis not possible.
12.
If the government regulates the natural monopoly by asking it tocharge a price that is equal to its marginal cost (P=MC) theregulated monopoly will -------- so instead the government ends upletting it charge a price equal to its ------
A) have a profit; fixed cost
B) have a profit; average cost
C) have a loss; variable cost
D) have a loss; average cost

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ECON 201 Study Guide - Final Guide: Economic Surplus

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