Economics 101
Fall 2001
Answers to Practice Questions 5
1.
Output |
Workers Hired |
TFC |
TVC |
TC |
MC |
AFC |
AVC |
ATC |
0 |
0 |
$2000 |
0 |
$2000 |
- |
- |
- |
- |
1 |
1 |
$2000 |
300 |
$2300 |
300 |
2000 |
300 |
2300 |
2 |
3 |
$2000 |
900 |
$2900 |
600 |
1000 |
450 |
1450 |
3 |
6 |
$2000 |
1800 |
$3800 |
900 |
667 |
600 |
1267 |
4 |
10 |
$2000 |
3000 |
$5000 |
1200 |
500 |
750 |
1250 |
5 |
15 |
$2000 |
4500 |
$6500 |
1500 |
400 |
900 |
1300 |
2. a.By the
condition D=S, P*=70 and Q*=30.
b. MC and ATC
cross at the lowest point of ATC. Thus if we set MC=TAC, then we can find the
production quantity which minimizes ATC.
MC= 20Q+1
= ATC = 10Q + 1
+ 10/Q
Then
Q=1(Q>0).
c.Since ATC increases
as the total level of production increases, this indicates diseconomies of
scale.
3. c
4. d.
We say a firm
experiences constant return to scale if LRAVC remains constant regardless of an
increase in production. Thus, the microsoft¡¯s LRAVC remains constant although
Microsoft doubles its production quantity.
e.
To satisfy the economies of scale condition, LRAVC must
decrease to an amount less than $20 per unit.
5.a
6.Similar to the
question 2, MC and ATC must cross single time at the lowest ATC point. Thus MC
should be 50 when quantities are 3. Since ATC increases as the increase of
quantities, it shows diseconomies of scale.
7. If you
reformulate the table,
Price |
Quantity |
TR |
MR |
TC |
MC |
1 |
3 |
3 |
- |
10 |
- |
2 |
5 |
10 |
7 |
13 |
3 |
3 |
6 |
18 |
8 |
20 |
7 |
4 |
7 |
28 |
10 |
30 |
10 |
5 |
9 |
45 |
17 |
35 |
5 |
thus P=4, Q=7 is
the answer.