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Chapter 12
1.
a. False. The information imparted by the expense
of the advertisement, not the message itself, is the more reliable signal
of high quality. The produce of a product who knew that consumers would be
unlikely to buy its product a second time would gain little by spending
millions to induce them to try it.
b. True. Because charging non-buyers for
advice is often impractical, the market generally provides less than the
socially optimal amount of retail service.
c. False. The best-attired lawyer will not always
be the best lawyer. You should follow this selection strategy only when
you have no more reliable information about the quality of the lawyers.
d. True. The benefit of searching in a
large city is greater, because there is a greater range of potential
spouses to choose from.
2. Since consumers value nondefective cars at
$10,000, the only used cars for sale will be defective ones. The used car
price of $2,500 is thus the value to consumers of a defective car. For a
risk-neutral buyer, the reservation price for a new car will be the value of
a good car times the probability of getting a good car, plus the vale of a
bad car times the probability of getting a bad car. To find x, we thus
solve:
$5,000 = (1-x)($10,000)+x($2500)
Chapter 13
3.
|
Number of Workers |
Cacti/Wk |
MP (extra cacti/wk) |
VMP ($/wk) |
| |
|
50 |
250 |
|
1 |
50 |
|
|
| |
|
40 |
200 |
|
2 |
90 |
|
|
| |
|
30 |
150 |
|
3 |
120 |
|
|
| |
|
20 |
100 |
|
4 |
140 |
|
|
| |
|
10 |
50 |
|
5 |
150 |
|
|
| |
|
5 |
25 |
|
6 |
155 |
|
|
|
Worker |
Reservation Wage ($/wk) |
Total Labor Cost ($/wk) |
Marginal Labor Cost ($/wk) |
| |
|
|
75 |
|
Jon |
75 |
75 |
|
| |
|
|
85 |
|
Joe |
80 |
160 |
|
| |
|
|
95 |
|
Jenny |
85 |
255 |
|
| |
|
|
105 |
|
Jeff |
90 |
360 |
|
| |
|
|
140 |
|
Jessica |
100 |
500 |
|
| |
|
|
400 |
|
Luke |
150 |
900 |
|
a. Comparing the VMP table with the table of
marginal labor cost, it is apparent that Jenny contributes a VMP of
$150/wk at a marginal labor cost of $95/wk. However, Jeff contributes
only $100 in VMP whereas the marginal labor cost of hiring him is $105.
Therefore, Rainflower will hire Jon, Joe, Jenny and the wage will be
$85/wk.
b. The socially optimal number is 4 per week. To
see this, we compare the workers’ reservation wages with the
corresponding VMP at each hiring level. With only three workers, the
social cost of adding a fourth is that worker’s reservation wage, $90.
the social benefit of hiring the fourth worker is the additional value
of his output, or $100. by not adding a fourth worker, society loses a
surplus of $10/week.
c. Rainflower would hire the social optimal number
of four workers. The marginal labor cost for the fourth worker would now
be only his reservation wage of $90, but his VMP would still be $100.
5.
|
Number of workers |
Cases/wk |
Total Net Revenue |
VMP($/worker) |
| |
|
|
2000 |
|
1 |
200 |
2000 |
|
| |
|
|
1600 |
|
2 |
360 |
3600 |
|
| |
|
|
1200 |
|
3 |
480 |
4800 |
|
| |
|
|
800 |
|
4 |
560 |
5600 |
|
| |
|
|
400 |
|
5 |
600 |
6000 |
|
a. Carolyn will hire 3 workers. They will produce
480 cases. This follows from the fact that the value of the third worker’s
marginal product is greater than the market wage ($1,000) while the VMP
of the fourth worker is less.
b. Carolyn will only hire 2 workers.
c. Each VMP entry will be 50 percent larger than
before, so Carolyn will now hire 4 workers.
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