In a study commissioned by the College, consultants estimate
that an increase in the comprehensive fee from $19,550 to $20,550 would
cause the number of returning students to drop by 2.3%. Also, it would
reduce applications for next year's class from 1600 to 1440.
a) Estimate and interpret the elasticity of demand for
the returning students.
The elasticity of demand for returning students is:

Demand for returning students is inelastic.
b) Estimate and interpret the elasticity of demand for
applicants.
The elasticity of demand for applicants is:

The elasticity of demand for applicants is elastic.
c) Comparing these elasticities, do they seem reasonable?
Explain.
This quiz is based on the information for a purely competitive
company shown in the table below.
|
Output (Q) |
Fixed Costs (TFC) |
Variable Costs TVC |
Total Costs (TC) |
Marginal Cost (MC) |
Average Fixed Cost (AFC) |
Average Variable Cost (AVC) |
Average Total Cost (ATC) |
Total Revenues (TR) |
Profit () |
|
0 |
200 |
0 |
200 |
- |
- |
- |
- |
0 |
-200 |
|
1 |
200 |
350 |
550 |
350 |
200 |
350 |
550 |
260 |
-290 |
|
2 |
200 |
450 |
650 |
100 |
100 |
225 |
325 |
520 |
-70 |
|
3 |
200 |
600 |
800 |
150 |
67 |
200 |
267 |
780 |
-20 |
|
4 |
200 |
800 |
1000 |
200 |
50 |
200 |
250 |
1040 |
40 |
|
5 |
200 |
1050 |
1250 |
250 |
40 |
210 |
250 |
1300 |
50 |
|
6 |
200 |
1350 |
1550 |
300 |
33 |
225 |
258 |
1560 |
10 |
|
7 |
200 |
1700 |
1900 |
350 |
29 |
243 |
271 |
1820 |
-80 |
|
8 |
200 |
2100 |
2300 |
400 |
25 |
263 |
288 |
2080 |
-220 |
(a) How much are the company's fixed costs?
Fisxed costs (TFC) are $200. Found by looking at TC at an output
of 0.
(b) At what price is the company selling its product?
Price is $260. Found by looking at total revenues at any quantity:
TR = P x Q.
(c) How much output should the company produce if it wishes to maximize
its profit?
The company should produce 5 (Q = 5) because this is where profit
is highest. Found by looking at profit column or by finding where P = MC.
(d) Suppose the price of the company's output changes to $240. Should
the company increase or decrease its production? Is this consistant with
the "Law of Supply"?
If price falls to $240, the firm should cut back its output to 4 (Q = 4) because this is now where P = MC. It is consistant with the "Law of Supply" in that, as price falls, firms reduce their quantity supplied.
Economics 121 A & B
Fall 1996 - Prof. Becker
(a) What price will the publisher select for the textbook?
How many will be sold?
Publisher will select quantity where MR = MC and price
along demand at this quantity: Q=4,000, P=60.
(b) What price and quantity would the professors suggest
the publisher choose?
Professors will want the largest quantity that will
keep the publisher from "exiting" the market. This is where P
= ATC: Q=7,100, P=29 (approximately).
(c) What is the allocatively efficient price and quantity?
Why is it not feasible?
Allocatively efficient price and quantity are where P = MC: Q=8,000, P=20.
At a large university there are two bookstores. One is
located on campus in the student center and the other is located just off
campus. Instructors inform both stores of their textbook choices. Both
stores carry new and used books for every class.
Each store must decide on a price for the introductory
economics textbook: either $40 or $45. Their "payoffs" matrix
is shown below. It gives the profit for each bookstore from sales of this
book. (e. g., If the on-campus price is $45 and the off-campus price is
$40, then the on campus store's profit is $5,500 and the off-campus store's
profit is $9,500.)
|
Off-Campus Bookstore's Price |
|||
| 40 | 45 | ||
|
|
40 |
$5,000
$7,500 |
$2,000
$11,250 |
|
Bookstore's Price |
45 |
$9,500
$5,500 |
$8,600
$10,400 |
(a) (5 points) What kind of market structure is this? Explain your answer.
This is an oligopoly with some product differentiation. We know it
is an oligopoly because there are only two firms.
(b) (5 points) Though the stores sell the same book, there is some differentiation.
How can you tell from the payoffs matrix?
We know there is some differentiation because when one firm raises
its price above that of the other, it does not lose all of its sales.
(c) (5 points) Is there an equilibrium (a Nash equilibrium)? Explain.
There is a Nash equilibrium: both charge a price of 40. At this point,
neither store will want to change its price.